216k views
5 votes
PLEASE HELP

The difference between two same-side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.

User Hollister
by
5.0k points

2 Answers

3 votes

Answer:

x + y = 180 Fact about angles and parallel lines.

x - y = 35 Given

Solution

Add the equations together

2x = 180 + 35 Combine

2x = 215 Divide by 2

2x/2 = 215/2 Divide

x = 107.5

The larger angle is 107.5

The smaller angle is 180 - 107.5 = 72.5

User Chrisdrobison
by
6.4k points
1 vote

Answer:

is there a visual version of this question?

User Gilsham
by
4.8k points