Question

what is the measure of angle afe? 79° 81° 91° 99°

Explanation:

Step1: Use the formula for the sum of exterior angles of a polygon

The sum of exterior angles of any polygon is \(360^{\circ}\). Let \(\angle AFE = x\).
We have the equation \(62^{\circ}+44^{\circ}+70^{\circ}+60^{\circ}+43^{\circ}+x = 360^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, add the known angles: \(62 + 44+70 + 60+43=(62 + 44)+70+(60 + 43)=106+70 + 103=279\).
So the equation becomes \(279^{\circ}+x = 360^{\circ}\).

Step3: Solve for \(x\)

Subtract \(279^{\circ}\) from both sides of the equation: \(x=360^{\circ}-279^{\circ}\).
\(x = 81^{\circ}\).

Answer:

\(81^{\circ}\) (the second option)