Answer x = 100 ° Explanation Given: Quadrilateral - Formula Used: The sum of the angle measures of a quadrilateral is 360 ° . Calculation: Given: The quadrilateral - Since, the sum of the angle measures of a quadrilateral is 360 ° , we have: 85 ° + 115 ° + 60 ° + x = 360 ° 260 ° + x = 360 ° x = 360 ° − 260 ° x = 100 ° Thus, x = 100 ° . Conclusion: Hence, x = 100 ° .

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 1.1, Problem 20E

To determine

To find the value of x .

Expert Solution & Answer

Answer to Problem 20E

x=100°

Explanation of Solution

Given: Quadrilateral -

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 1.1, Problem 20E , additional homework tip 2

Formula Used:

The sum of the angle measures of a quadrilateral is 360° .

Calculation:

Given: The quadrilateral -

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 1.1, Problem 20E , additional homework tip 3

Since, the sum of the angle measures of a quadrilateral is 360° , we have:

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

Thus, x=100° .

Conclusion:

Hence, x=100° .

Chapter 1.1, Problem 19E

Chapter 1.1, Problem 21E

Chapter 1 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

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