Question

One of the same side angles of two parallel lines is five times smaller than the other one. Find the measures of these two angles.

plz help

Answer 1

30 and 150

Explanation:

Whether these are same side interior or same side exterior, the sum of them is 180 when the angles are on the same side of a transversal that cuts a pair of parallel lines. Let's call the angles A and B. If angle A is 5 times smaller than angle B, then angle B is 5 times larger than angle A. So the angles are x and 5x. They are supplementary so

x + 5x = 180 and

6x = 180 so

x = 30 and 5(30) = 150