Question

In the image below, lines n and mare parallel. What is the measure of angle 4?

a.98
b.82
c.164
d.122
help me asap pls

Answer 1

I believe it’s a.98
You subtract the 82° from 180, and get 98.

Answer 2

Answer:

a.) 98°

Step-by-step explanation:

Angle 5 and angle 8 (82°) are supplementary angles. This means that their sum will make a straight angle of 180°. Make an equation:

$82+x=180$

Solve for x, the value of angle 5:

$x=180-82\\\\x=98$

Angle 5 has a  measure of 98°.

Now we know the measure of angle 5. Angle 4 and angle 5 are alternate interior angles, so they are congruent. Therefore, angle 4 has a measure of 98°.

:Done