Answer: the measures of both angles are 61 degrees and 119 degrees
Step-by-step 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
