One of the inner one-sided angles with parallel straight lines a and b and secant c is 3 times smaller than

One of the inner one-sided angles with parallel straight lines a and b and secant c is 3 times smaller than the other. Find these corners.

Let one of the inner one-sided angles be x degrees, then the second of the angles is 3x degrees. According to the theorem, the sum of the inner one-sided angles for parallel lines and a secant is 180 degrees. We have the sum of the angles is x + 3x. Let’s make an equation and solve it.

x + 3x = 180;

4x = 180;

x = 180: 4;

x = 45 – one angle;

3x = 45 * 3 = 135 is the second corner.

Answer. 35 degrees, 135 degrees.