1
12. If ABCD is a parallelogram, find mzC.
A
B
(5x + 38)
(8x - 19°
С
D

1 Answer

2

Answer:

85°

Step-by-step explanation:

m<B = m<D (opposite angles of a parallelogram)

Therefore:

5x + 38 = 8x - 19

Collect like terms.

5x - 8x = -38 - 19

-3x = -57

Divide both sides by -3

x = 19

m<C + m<B = 180° (consecutive angles of a parallelogram are supplementary)

(5x + 38) + m<C = 180°

Plug in the value of x

5(19) + m<C = 180°

m<C = 180 - 95

m<C = 85°

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answered 9 months ago