Question

Polygon a b c d e f has 6 sides. exterior angle a is 62°, exterior angle b is 44°, exterior angle c is 70°, exterior angle d is 60°, and exterior angle e is 43°. what is the measure of angle afe? a. 79° b. 81° c. 91° d. 99°

Answer 1

The measure of exterior angle F (AFE) in the polygon ABCDEF is 81°, which can be calculated by subtracting the sum of the known exterior angles from the total sum of exterior angles in a polygon (360°).

Step-by-step explanation:

Calculating the measure of angle AFE in the shape of the polygon ABCDEF involves understanding the concept of exterior angles in a polygon. The sum of exterior angles in any polygon is always 360°. Given that we know the measures are: angle A = 62°, angle B = 44°, angle C = 70°, angle D = 60°, and angle E = 43°. Now, let's add these figures together to find the sum of the known angles:

62° + 44° + 70° + 60° + 43° = 279°

The sum of all exterior angles is 360°. Therefore, the measure of angle F (AFE) can be found by subtracting the sum of known angles from 360°:

360° - 279° = 81°

So, the answer is b.81°.

Learn more about Exterior Angles of a Polygon