Find angle mS
Find DCE
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Answer:
<S = 151 degrees
<DCE = 52 degrees
Step-by-step 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