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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?




Enter your answer in the box.

x =

The interior angles formed by the sides of a quadrilateral have measures that sum to 360 . What is the value of x? Enter your answer in the box. x = class=

Verified Answer :

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

answer x = 28

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

\(x=28degrees\)