Question

Use the picture below:

Determine the value of x for which j || k. Then find the measure of angle 1 and angle 2.
m∠1 = 7x + 14, m∠2 = 2x + 4

Answer 1

x=18, m∠1=140, m∠2=40

Explanation:

m∠1 and m∠2 will equal up to 180

7x+14+2x+4=180

Combine like-terms

9x+18=180

Subtract 18 from both sides.

9x=162

Divide both sides by 9

x=18

Then plug in 18 for x in the angle measures

7(18)+14=140

2(18)+4=40