Lines a and b are parallel, c-secant, one of the corresponding angles is 30 degrees. Find the rest of the corners.

We are given the degree measure of one of the angles for two parallel lines and a secant.

So, it is known that one of the angles is 30 °. In order to find the rest of the corners, we use the properties of the corners to find them.

It is best to draw a picture, and then this is easier to solve.

It is known that one of the angles is 30 °, according to the condition. The vertical angle with it is also 30 °, since the vertical angles are equal.

An angle adjacent to angles of 30 ° is equal to:

180 ° – 30 ° = 150 ° because the sum of adjacent angles is 180 °.

And the same pair of angles for the second straight line.