195k views
4 votes
The difference of the same side interior angles of two parallel lines is 50°. Find all angles.

User Buurman
by
9.0k points

1 Answer

4 votes

Answer:

The angles are 65° and 115°

Explanation:

Let

x,y ----> the two side interior angles of two parallel lines

we know that

x+y=180° ----> equation A

x-y=50° ----> equation B

Adds equation A and equation B

x+x=180°-50°

2x=130°

x=65°

Find the value of y

x+y=180° -----> 65°+y=180° ----> y=180°-65°=115°

therefore

The angles are 65° and 115°

User Wasim Abuzaher
by
9.1k points