The difference of the same side interior angles of two parallel lines is 50°. find all angles.

The angles are 65° and 115°

Step-by-step 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°

step-by-step :