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The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

What is the value of x?



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The interior angles formed by the sides of a quadrilateral have measures that sum-example-1
User Exsemt
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2 Answers

3 votes
2x+2x+124+124 = 360
4x+248 = 360
4x = 360 - 248
4x = 112
x = 112/4
x = 28

answer x = 28
User Txyoji
by
8.3k points
6 votes

Let


angle 1=2x°


angle 2=2x°


angle 3=124°


angle 4=124°


we know that

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°

so


angle 1+angle 2+angle 3+angle 4=360°


2x+2x+124+124=360\\ 4x+248=360\\ 4x=112\\ x=28degrees

therefore


the answer is


x=28degrees

User Thealmightygrant
by
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