Question

The ratio of the measures of the exterior angle of a pentagon is 2:3:4:4:5. find the measure of tge largest interior angle

Answer 1

the sum of the exterior angles of a polygon is 360.
suppose the angles are 2x, 3x, 4x, 4x, and 5x
add them up: 18x=180
x=10
the smallest EXTERIOR angle is 20, the largest INTERIOR angle is 180-20=160
160 is the answer.