Answer x = 100 ° Explanation Given information : Sum of angles measures of quadrilateral is 360 degrees. Three angles are: 115 ° , 85 ° , 60 ° We know that, sum of angles in a quadrilateral is 360 degrees. Now write the equation and solve it for x x + 115 ° + 85 ° + 60 ° = 360 ° x + 260 ° = 360 ° x = 360 ° − 260 ° x = 100 °

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN: 9781680331141

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

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Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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Question

Chapter 1.1, Problem 20E

To determine

To find: The value of x in the given quadrilateral by forming an equation.

Expert Solution & Answer

Answer to Problem 20E

x=100°

Explanation of Solution

Given information: Sum of angles measures of quadrilateral is 360 degrees.

Three angles are: 115°,85°,60°

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015, Chapter 1.1, Problem 20E

We know that, sum of angles in a quadrilateral is 360 degrees.

Now write the equation and solve it for x

x+115°+85°+60°=360°x+260°=360°x=360°−260°x=100°

Chapter 1.1, Problem 19E

Chapter 1.1, Problem 21E

Chapter 1 Solutions

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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