Question

One of the same side angles of two parallel lines is three times the other angle. Find the measures of these two angles.

Answer 1

45° and 135°

Step-by-step explanation:

If the smaller is represented by x, then the larger is 3x. The two angles are supplementary, so ...

... x + 3x = 180°

... 4x = 180°

... 180°/4 = x = 45°

... 3x = 135°

The two angles are 45° and 135°.

Explanation:

Answer 2

45° and 135°

Explanation:

If the smaller is represented by x, then the larger is 3x. The two angles are supplementary, so ...

... x + 3x = 180°

... 4x = 180°

... 180°/4 = x = 45°

... 3x = 135°

The two angles are 45° and 135°.