Question

Two angles are supplementary.

The measure of the larger angle is four more than three times the measure of the smaller angle. Find the measures of both angles.

Answer 1

44° and 136°

Explanation:

let x represent the smaller angle then larger angle is 3x + 4

supplementary angles sum to 180° , so

x + 3x + 4 = 180

4x + 4 = 180 ( subtract 4 from both sides )

4x = 176 ( divide both sides by 4 )

x = 44

3x + 4 = 3(44) + 4 = 132 + 4 = 136

then

smaller angle = 44° and larger angle = 136°