Question

Find the value of x given the EXTERIOR angle measures in a convex pentagon are x, 77, 72, 64, and 80.

Answer 1

x = 67°

Explanation:

The sum of the exterior angles of a convex pentagon is 360°.

Hence, by adding the given angle measures, we can find x.

⇒ x + 77 + 72 + 64 + 80 = 360

⇒ x + 149 + 144 = 360

⇒ x + 293 = 360

⇒ x = 67°

Answer 2

• The value of x is 67°

Explanation:

We know that exterior angles of any polygon sum to 360°.

Use the given angle measures to find the sum

• x + 77 + 72 + 64 + 80 = 360

Solve it for x

• x + 293 = 360
• x = 360 - 293
• x = 67