Question

Find angle mS
Find DCE

Answer 1

<S = 151 degrees

<DCE = 52 degrees

Explanation:

The sum of interior angle of pentagon is 540 degrees

5x+2+7x-11+13x-31+8x-19+10x-3 = 540

43x - 62= 540

43x = 540+62

43x =602

x = 602/43

x = 14

get <S

<S = 13x-31

<S = 13(14)-31

<S = 182-31

<S = 151 degrees

2) The sum of interior angle is the exterior

180-7x+2+180-4x-33 = 9x-31

360-11x-31 = 9x - 31

360 = 9x+11x

360 = 20x

x = 360/20

x = 18

<DCE = 180 - 7x - 2

<DCE = 180-7(18)-2

<DCE = 180-126-2

<DCE = 180-128

<DCE = 52 degrees