Question

Find the measure of ∠C if

∠A = 52x + 30 
∠B = 72x + 40
∠C = 92x + 10 
∠D = 52x + 20

A)70°
B)80°
C)90°
D)100°

Answer 1

any 4 sides polygon has total of 360 degree

therefore adding p all angles you got 268x +100= 360

minus 100 on both side 268x= 260

divide 268 on both side you got x around .97

therefore angle C is around 99.25.....closest answer is D 100

hope this help