Question

Given that the two lines are parallel, solve for x and find the measure of the labeled angle.

Answer 1

This Answer has been Removed.

Answer 2

x= 30

The angles measure 80 degrees

Explanation:

The two angles are corresponding angles and, when the lines are parallel, corresponding angles are equal.

2x+20 = 3x-10

Subtract 2x from each side

2x+20-2x = 3x-10-2x

20 = x-10

Add 10 from each side

20+10=x-10+10

30 = x

2x+20 = 2(30) +20 = 60+20 = 80