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What is the value of x? (see picture)

What is the value of x? (see picture)-example-1

2 Answers

3 votes

Answer:

Explanation:

∠ABC (Interior) = 360º - 5x

Sum of interior angles in a polygon is (n - 2) x 180

Sum of interior angles of ABCD = (4 - 2) x 180 = 360º

79 + 2x + (360 - 5x) + 32 = 360

79 + 2x + 360 - 5x + 32 = 360

471 - 3x = 360

3x = 111

x = 37º

User Vrinda
by
5.9k points
3 votes

Answer:

37º

Explanation:

∠ABC (Interior) = 360º - 5x

Sum of interior angles in a polygon is (n - 2) x 180

Sum of interior angles of ABCD = (4 - 2) x 180 = 360º

79 + 2x + (360 - 5x) + 32 = 360

79 + 2x + 360 - 5x + 32 = 360

471 - 3x = 360

3x = 111

x = 37º

User Cwang
by
5.8k points
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