The measures of the exterior angles of a quadrilateral are 2x°, 4x°, 8x°, and 10x°. Find the measure of the smallest exterior angle.

Question

asked Oct 21, 2023 36.4k views

1 Answer

Mina Atia · Answer 1 · 2023-10-26T04:29:23+0000

Answer:

30 degrees.

Explanation:

The sum of the external angles = 360 degrees.

So 2x + 4x + 8x + 10x = 360

24x = 360

x = 15.

So the smallest exterior angle = 2*15

= 30 degrees.