Question

9) Two angles form a linear pair. One of the angles is 12° more than three times the other. What's the

measure of each angle?

Answer 1

42 deg, 138 deg

Explanation:

Angles of a linear pair are supplementary. That means that their measures have a sum of 180 degrees.

Let the measure of one angle be x.

The other angle is 12° more than three times the first.

The other angle has measure 3x + 12.

The sum of their measures is 180 deg.

x + 3x + 12 = 180

4x + 12 = 180

4x = 168

x = 42

One angle measures 42 deg.

The other angle measures

3x + 12 = 3(42) + 12 = 138

The other angle measures 138 deg.