Question

I need help. I’m a little bit confused

Answer 1

Answer:

$m$∠8 = 65°

Step-by-step explanation:

The other side (angle) of 115 is $n$ and $n =$ ∠8

To find $n$ you need to subtract 180 - 115 giving you 65, and since n is angle 8, angle 8 is also 65 since the angles have a state of congruence...

Answer 2

Answer:  65 degrees

Explanation:

The adjacent angle directly above angle 8 is congruent to the 115 degree angle (due to the corresponding angles theorem). This only works because p || q and q || r, so by the transitive property of parallel lines, we know that p || r.

Since the 115 degree angle and angle 8 pair up to form a straight line, we know that the two angles must add to 180 degrees

115+(angle 8) = 180

angle 8 = 180 - 115

angle 8 = 65 degrees