Question

Find the x and the m

Answer 1

14=x

<N =51

Explanation:

A parallelogram has the two opposite angles equal.

<K = <M

8x+17 = 12x-39

Subtract 8x from each side

8x+17-8x = 12x-8x-39

17 = 4x-39

Add 39 to each side

17+39 = 4x-39+39

56 = 4x

Divide by 4

56/4 = 4x/4

14=x

Now find angle N

We know consecutive angles are supplementary.

<N + < M = 180

<N + 12x-39 = 180

<N + 12 (14) -39 = 180

<N +168 -39 = 180

<N +129 = 180

<N +129-129 = 180-129

<N =51