Question

Find the measure of angle F

Answer 1

∠ F = 80°

Explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

7x + 7x + 4x + 7x + 7x + 4x = 720

36x = 720 ( divide both sides by 36 )

x = 20

Then

∠ F = 4x = 4 × 20° = 80°