Answer:
x = 37°
Explanation:
You want the value of x in the quadrilateral figure with angles marked.
Angle sum
The sum of interior angles of a quadrilateral is 360°. The reflex interior angle at B is the difference between 360° and the angle shown as 5x. Using these relations, we can write the equation ...
79° +32° +(360° -5x) +(2x) = 360°
111° = 3x . . . . . . . . . . . . . . . . . . . add 3x-360°
37° = x . . . . . . . . . divide by 3
The value of x is 37°.
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Additional comment
Using this value of x, we find 5x=185°, so the "reflex" interior angle at B is not actually a reflex angle. The polygon is actually convex, and is not drawn to scale.
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