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

72°72 degrees

75°75 degrees

66°
since the exterior angles add up to 360,
2(3x) + 2(2x+22) + x+41 = 360
Now just solve for x and find which of the three values is smallest.

Extra credit: what is the smallest interior angle?

Related Questions

I really need help with this question :( A pentagon has two exterior angles that measure (3x), t... The measures of the exterior angles at three vertices of some quadrilaterals are given. Find the mea... ​A hexagon has two exterior angles that measure (3x), two exterior angles that measure(2x+20), and t... The figure shows a triangle with exterior angle w. The triangle has interior angles x, y, and z,...