Question

The measure of the exterior angles of a quadrilateral are 4x° , 7x°, 9x° and 10x°. Find the measure of the smallest exterior.

Answer 1

48°

Explanation:

the sum of the exterior angles of any polygon is 360°

so, 4x + 7x + 9x + 10x = 360

30x = 360

x = 12

smallest exterior ∡ is 4x, so 4(12) = 48°