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How can I solve this problem?

How can I solve this problem?-example-1

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Answer:

116

Explanation:

The sum of angles in a quadrilateral is 360°. The figure here is symmetrical about the line NQ, so ∠P = ∠M = x°. Using these facts, we can write ...

∠M +∠N +∠P +∠Q = 360°

x° +28° +x° +100° = 360° . . . . fill in the angle values

2x = 232 . . . . . . . . . . . . . . . . . divide by °, subtract 128

x = 116 . . . . divide by 2

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