Question

I need help and this is due tonight

Answer 1

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

First we will establish that there are angles at a point.

The sum of all angles at a point = 360°

Therefore:

2 ( m ) + 2 ( 118 ) = 360

2m + 236 = 360

2m = 360 - 236

2m = 124

m = 124 / 2

m = 62°

From this we can use alternate angles to find x.

There are alternate angles as the angles form a backward 'Z' shape on paralell lines.

Alternate angles are equivalent to each other.

Therefore:

m = 62°

8x + 6 = m

8x + 6 = 62

8x = 62 - 6

8x = 56

x = 56 / 8

x = 7°

FINAL ANSWER:

Therefore, x is 7° and m is 62°.

Hope this helps! <3