Question

Find the measure of angle E

Answer 1

Sum of interior of polygon = 180(n - 2) where n = 8

Sum of interior of polygon = 180(9 - 2) = 180(7) = 1260

5x + 6x - 1 + 7x + 6 + 5x + 5 + 6x + 14 + 7x + 9 + 7x - 35 + 8x - 15 + 4x + 12 = 1260

55x - 5 = 1260

55x = 1265

x = 23

<E = 7x + 9 = 7(23) + 9 = 161 + 9 = 170

Answer

<E = 170°