Q:

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°

Accepted Solution

A:
The measure of angle AFE would be 99 degrees.Step-by-step explanation:Given that,Exterior angle A = 62 degreesExterior angle B = 44 degreesExterior angle C = 70 degreesExterior angle D = 60 degreesExterior angle E = 43 degreesAngle 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 degreesExterior angle F = 360 - Exterior angle( A + B + C + D + E )Exterior angle F = 360 -  (62 +44 + 70 + 60 + 43 )Exterior angle F = 360 -  279Exterior angle F = 81The, 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: