High School

Polygon ABCDEF has 6 sides. Exterior angle A is 62 degrees, exterior angle B is 44 degrees, exterior angle C is 70 degrees, exterior angle D is 60 degrees, and exterior angle E is 43 degrees. What is the measure of angle AFE?

A. 79°
B. 81°
C. 91°
D. 99°

Answer :

Final answer:

To find the measure of angle AFE, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees. By adding up the given exterior angles of polygon ABCDEF and solving for the missing exterior angle, we find that the measure of angle AFE is 81 degrees.

Explanation:

To find the measure of angle AFE, we can use the fact that the sum of the exterior angles of any polygon is always 360 degrees.

So, if we add up the given exterior angles of polygon ABCDEF, we get:

62 + 44 + 70 + 60 + 43 + x = 360

Solving for x, we have:

x = 360 - (62 + 44 + 70 + 60 + 43)

x = 360 - 279

x = 81

Therefore, the measure of angle AFE is 81 degrees. So, the correct option is b) 81°.

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