Question

Part a

what is the m<M

A) 70°
B) 78°
c) 102°
d) 110°

part b

what is the m<Q

a) 70°
b) 78°
c) 102°
d) 110°

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Answer 1

a) 110° (D)

b). 70° (A)

Explanation:

Opposite angles in a parallelogram are equal to each other.

Hence: ∠M = ∠R

32x - 18 = 25x + 10

Rearrange

7x = 28

x = 4

To find ∠M, sub x = 4 into the expression

32(4) - 18

= 110°

∠M and ∠Q are supplementary angles, meaning they add up to 180°

Hence: ∠Q + 110 = 180

∠Q = 180 - 110

∠Q = 70°