Question

Can someone please check my answer? It is an easy question. I will show the steps I did below. I will medal the person with the best answer. Thanks! Also, look at the graph along with it.

Use the following figure to answer the next two questions.

If l (is parallel) to m, angle 7 = 5x – 4, and angle 14 = 8x – 11, calculate angle 16.

15 degrees
7.7 degrees
71 degrees
109 degrees

It is 71 degrees.

Which of the following statements would prove l (is parallel) to m?

Angle 2 = angle 8
Angle 4 = angle 18
Angle 3 = angle 13
Angle 5 = angle 11

It is Angle 4 = angle 18

Answer 1

This is what I did for the first problem:
5x-4+8x-11=180
13x-15=180
13x=195
x=15

5(15)-4
75-4=71

Answer 2

Is that right?

Answer 3

Can you help me @jim_thompson5910? If you wouldn't mind.

Answer 4

yes that is correct

Answer 5

What about the second one?

Answer 6

good, they are alternate exterior angles

if they are congruent, then M || L

Answer 7

Thanks Jim!

Answer 8

np