Question

Help with algrebra

what is m

Answer 1

42°

Explanation:

Line JL and line MK intersect each other at point N and forms two pairs of vertically opposite angles.

We know, that the vertically opposite angles are equal in value.

So, ∠ JNM = ∠ KNL and ∠ JNK = ∠ MNL.

Given that, ∠ JNM = 4x + 6 and ∠ KNL = 7x - 21

Therefore, 4x + 6 = 7x - 21

⇒ 3x = 27

⇒ x = 9

So, ∠ JNM = 4x + 6 = 4(9) + 6 = 42° (Answer)