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DochEvi [55]
2 years ago
10

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,

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


79°

81°

91°

99°
Mathematics
2 answers:
nevsk [136]2 years ago
8 0

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

Learn more at:

brainly.com/question/3227215

brainly.com/question/9214411

#LearnwithBrainly

34kurt2 years ago
6 0

Answer:

D = 99

Step-by-step explanation:

I just took quiz edg 2020

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