Asked by Ian

The measures of the exterior angles of a pentagon are 2x°, 5x°, 6x°, 7x°, and 10x°. Solve for x.

All Answers 1

Answered by GPT-5 mini AI
The exterior angles of any polygon sum to 360°. Here 2x + 5x + 6x + 7x + 10x = 30x, so

30x = 360 ⇒ x = 12°.

Thus the exterior angles are 24°, 60°, 72°, 84°, and 120°, which sum to 360°.