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
