{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T07:10:45+00:00","modifiedTime":"2016-03-26T07:10:45+00:00","timestamp":"2022-09-14T17:46:07+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Geometry","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33725"},"slug":"geometry","categoryId":33725}],"title":"Angles That Form Linear Pairs—Practice Geometry Questions","strippedTitle":"angles that form linear pairs—practice geometry questions","slug":"angles-that-form-linear-pairspractice-geometry-questions","canonicalUrl":"","seo":{"metaDescription":"Angles that form a linear pair combine to form a straight angle. (A straight angle measures 180 degrees.) The following practice questions ask you to solve prob","noIndex":0,"noFollow":0},"content":"<p>Angles that form a linear pair combine to form a straight angle. (A straight angle measures 180 degrees.) The following practice questions ask you to solve problems based on linear pairs. </p>\n<h2 id=\"tab1\" >Practice questions</h2>\n<p>In the following figure, </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501206.image0.png\" height=\"21\" alt=\"image0.png\" width=\"139\"/>\n<p>at E. In the following questions, fill in the blank to make the statement true.</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501207.image1.png\" height=\"233\" alt=\"image1.png\" width=\"200\"/>\n<ol class=\"level-one\">\n <li><p class=\"first-para\">If you know that</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501208.image2.png\" height=\"19\" alt=\"image2.png\" width=\"220\"/>\n<p class=\"child-para\">are represented by 2<i>a</i>, 2<i>a</i> + <i>b</i>, and 3<i>a</i> – 20, respectively then <i>b</i> = ———?</p>\n </li>\n <li><p class=\"first-para\">If you know that</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501209.image3.png\" height=\"60\" alt=\"image3.png\" width=\"345\"/>\n </li>\n</ol>\n<h2 id=\"tab2\" >Answers and explanations</h2>\n<ol class=\"level-one\">\n <li><p class=\"first-para\">20</p>\n<p class=\"child-para\">Start with the given information:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501210.image4.png\" height=\"88\" alt=\"image4.png\" width=\"171\"/>\n<p class=\"child-para\">form a linear pair, which means their sum is 180 degrees. Set up the following equation and solve for <i>a:</i></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501211.image5.png\" height=\"99\" alt=\"image5.png\" width=\"172\"/>\n<p class=\"child-para\">Plug in the value of <i>a</i> to find </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501212.image6.png\" height=\"83\" alt=\"image6.png\" width=\"297\"/>\n<p class=\"child-para\">because they’re vertical angles. Set them equal to each other, plug in the value of <i>a,</i> and solve for <i>b:</i></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501213.image7.png\" height=\"97\" alt=\"image7.png\" width=\"133\"/>\n </li>\n <li><p class=\"first-para\">124 degrees</p>\n<p class=\"child-para\">Angles that form a linear pair add up to 180 degrees. Set the sum of </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501214.image8.png\" height=\"16\" alt=\"image8.png\" width=\"141\"/>\n<p class=\"child-para\">equal to 180 and solve for <i>x:</i></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501215.image9.png\" height=\"113\" alt=\"image9.png\" width=\"167\"/>\n<p class=\"child-para\">Now plug in the value of <i>x</i> to solve for </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501216.image10.png\" height=\"56\" alt=\"image10.png\" width=\"288\"/>\n </li>\n</ol>","description":"<p>Angles that form a linear pair combine to form a straight angle. (A straight angle measures 180 degrees.) The following practice questions ask you to solve problems based on linear pairs. </p>\n<h2 id=\"tab1\" >Practice questions</h2>\n<p>In the following figure, </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501206.image0.png\" height=\"21\" alt=\"image0.png\" width=\"139\"/>\n<p>at E. In the following questions, fill in the blank to make the statement true.</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501207.image1.png\" height=\"233\" alt=\"image1.png\" width=\"200\"/>\n<ol class=\"level-one\">\n <li><p class=\"first-para\">If you know that</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501208.image2.png\" height=\"19\" alt=\"image2.png\" width=\"220\"/>\n<p class=\"child-para\">are represented by 2<i>a</i>, 2<i>a</i> + <i>b</i>, and 3<i>a</i> – 20, respectively then <i>b</i> = ———?</p>\n </li>\n <li><p class=\"first-para\">If you know that</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501209.image3.png\" height=\"60\" alt=\"image3.png\" width=\"345\"/>\n </li>\n</ol>\n<h2 id=\"tab2\" >Answers and explanations</h2>\n<ol class=\"level-one\">\n <li><p class=\"first-para\">20</p>\n<p class=\"child-para\">Start with the given information:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501210.image4.png\" height=\"88\" alt=\"image4.png\" width=\"171\"/>\n<p class=\"child-para\">form a linear pair, which means their sum is 180 degrees. Set up the following equation and solve for <i>a:</i></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501211.image5.png\" height=\"99\" alt=\"image5.png\" width=\"172\"/>\n<p class=\"child-para\">Plug in the value of <i>a</i> to find </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501212.image6.png\" height=\"83\" alt=\"image6.png\" width=\"297\"/>\n<p class=\"child-para\">because they’re vertical angles. Set them equal to each other, plug in the value of <i>a,</i> and solve for <i>b:</i></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501213.image7.png\" height=\"97\" alt=\"image7.png\" width=\"133\"/>\n </li>\n <li><p class=\"first-para\">124 degrees</p>\n<p class=\"child-para\">Angles that form a linear pair add up to 180 degrees. Set the sum of </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501214.image8.png\" height=\"16\" alt=\"image8.png\" width=\"141\"/>\n<p class=\"child-para\">equal to 180 and solve for <i>x:</i></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501215.image9.png\" height=\"113\" alt=\"image9.png\" width=\"167\"/>\n<p class=\"child-para\">Now plug in the value of <i>x</i> to solve for </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501216.image10.png\" height=\"56\" alt=\"image10.png\" width=\"288\"/>\n </li>\n</ol>","blurb":"","authors":[{"authorId":8986,"name":"Allen Ma","slug":"allen-ma","description":" <p><b>Allen Ma </b>and<b> Amber Kuang </b>are math teachers at John F. Kennedy High School in Bellmore, NY. Allen has taught geometry for more than 25 years, has coached the math team, and is a former honors math research coordinator. Amber has taught all levels of math, from algebra to calculus, for 20 years.</p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8986"}},{"authorId":8987,"name":"Amber Kuang","slug":"amber-kuang","description":" <p><b>Allen Ma </b>and<b> Amber Kuang </b>are math teachers at John F. Kennedy High School in Bellmore, NY. Allen has taught geometry for more than 25 years, has coached the math team, and is a former honors math research coordinator. Amber has taught all levels of math, from algebra to calculus, for 20 years.</p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8987"}}],"primaryCategoryTaxonomy":{"categoryId":33725,"title":"Geometry","slug":"geometry","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33725"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":172026,"title":"Repurposing Items for Beautiful Holiday Decorating","slug":"decorating-for-the-holidays-with-what-you-already-have","categoryList":["home-auto-hobbies","crafts","gifts-holidays"],"_links":{"self":"/articles/172026"}},{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive 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Angles That Form Linear Pairs—Practice Geometry Questions

By: Allen Ma and Amber Kuang and

Updated: 03-26-2016

From The Book: Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)

Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)

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Angles that form a linear pair combine to form a straight angle. (A straight angle measures 180 degrees.) The following practice questions ask you to solve problems based on linear pairs.

Practice questions

In the following figure,

at E. In the following questions, fill in the blank to make the statement true.

If you know that

are represented by 2a, 2a + b, and 3a – 20, respectively then b = ———?
If you know that

Answers and explanations

20

Start with the given information:

form a linear pair, which means their sum is 180 degrees. Set up the following equation and solve for a:

Plug in the value of a to find

because they’re vertical angles. Set them equal to each other, plug in the value of a, and solve for b:
124 degrees

Angles that form a linear pair add up to 180 degrees. Set the sum of

equal to 180 and solve for x:

Now plug in the value of x to solve for

About This Article

This article is from the book:

Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice) ,

About the book authors:

Allen Ma and Amber Kuang are math teachers at John F. Kennedy High School in Bellmore, New York. Allen, who has taught geometry for 20 years, is the math team coach and a former honors math research coordinator. Amber has taught all levels of mathematics, from algebra to calculus, for the past 14 years.

This article can be found in the category:

Geometry ,

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