Question

The m angle P is three less than twice the measure of angle O . If angle P and angle O are supplementary angles, find the measures of both angles.

Answer 1

Answer: the measures of both angles are 61 degrees and 119 degrees

Explanation:

The angle P is three less than twice the measure of angle O. This means that

∠P = 2∠O - 3 - - - - - - - - - 1

Supplementary angles are two are angles whose sum is 180 degrees. This means that

∠P + ∠O = 180 - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

2∠O - 3 + O = 180

3∠O = 180 + 3 = 183

∠O = 183/3 = 61 degrees

Substituting ∠O = 61 into equation 1, it becomes

∠P = 2 × 61 - 3 = 122 - 3

∠P = 119 degrees