Problema Solution

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

Answer provided by our tutors

Let

'x' represents the first angle

'y' represents the second angle

y - x = 50

The same-side interior angles that are formed are supplementary, or add up to 180 degrees:

x + y = 180

We have the following system of equations:

y - x = 50

x + y = 180

........

click here to see the system of equations solved for x and y

........

x = 65°

y = 115°

The angles are 65° and 115°.