Middle School

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------------------------------------------------ Polygon ABCDEF has 6 sides. The exterior angles are as follows:

- Angle A: 62 degrees
- Angle B: 44 degrees
- Angle C: 70 degrees
- Angle D: 60 degrees
- Angle E: 43 degrees

What is the measure of angle AFE?

A. 79°
B. 81°
C. 91°
D. 99°

Answer :

The measure of angle AFE would be 99 degrees.

Step-by-step explanation:

Given that,

Exterior angle A = 62 degrees

Exterior angle B = 44 degrees

Exterior angle C = 70 degrees

Exterior angle D = 60 degrees

Exterior angle E = 43 degrees

Angle AFE = ?

However, for that, we have to find the exterior angle of F.

We know that the sum of exterior angles of polygon is 360 degrees.

Exterior angle( A + B + C + D + E + F) = 360 degrees

Exterior angle F = 360 - Exterior angle( A + B + C + D + E )

Exterior angle F = 360 - (62 +44 + 70 + 60 + 43 )

Exterior angle F = 360 - 279

Exterior angle F = 81

The, sum of interior and exterior angle is 180 degrees. Therefore, the angle AFE would be 180 - 81 = 99 degrees.

Keywords: polygon, exterior angle


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