Polygon A B C D E F has 6 sides. Exterior angle A is 62 degrees, exterior angle B is 44 degrees, exterior angle C is 70 degrees,

Question

3 years ago

10

exterior angle D is 60 degrees, and exterior angle E is 43 degrees.
What is the measure of angle AFE?

79°

81°

91°

99°

2 answers:

nevsk [136] · Answer 1 · 2022-08-20T05:34:32+03:00

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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34kurt · Answer 2 · 2022-08-20T07:29:19+03:00

34kurt3 years ago

6 0

Answer:

D = 99

Step-by-step explanation:

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