Answer:
it might not be on the choice but i got 38.
Explanation:
since MNOP is a cyclic quadrilateral it's opposite sides are complementary. so
8x-24+4x=90
12x-24=90
12x=90+24
12x=114 (divide both sides by 12)
x=9.5
since you asked for<NOP=4*9.5=38.
8x - 24 + 4x = 180
12x - 24 = 180
12x - 24 + 24 = 180 + 24
12x = 204
12x / 12 = 204 / 12
x = 17
∠NOP = 4(17)
= 68°
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