Question

A pentagon has two exterior angles that measure (3x)°, two exterior angles that measure (2x+22)°, and an exterior angle that measures (x+41)°. If all of these angles have different vertices, what is the measure of the smallest exterior angle? 25°25 degrees 66°66 degrees 75°75 degrees 72°

Answer 1

2(3x)+2(2x+22)+x+41=360°

Explanation:

Sum of exterior angles of any polygon is 360°.

So if we add up all five exterior angles of the pentagon, we have