What is the measure of angle AFE? 
79°, 81°, 91°, 99°

Solution:

From the given figure, ∠BAF = 118° (∵180° - 62°), using linear pair angles

∠ABC = 136° → (180° - 44°)

∠BCD = 110° → (180° - 70°)

∠CDE = 120° → (180° - 60°)

∠DEF = 137° → (180° - 43°)

Let ∠AFE = x

ABCDEF is hexagon

Sum of all interior angles of polygon of n sides = 180° (n - 2)

⇒ 118° + 136° + 110° + 120° + 137° + x = 180°(6 - 2)

⇒ 621° + x = 720°

⇒ x = 720° - 621°

⇒ x = 99°

What is the measure of angle AFE?

Summary:

The measure of angle AFE in the given figure is 99°.