Question

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

Answer 1

m∠P =119

m∠Q = 61

Explanation:

m∠P = 2(∠Q)-3 or p=2(q)-3

supplementary angles so they combine to equal 180!

soooooo we can take

q+p=180

input what p equals and you get

q+ 2(q)-3=180

3q-3=180

3q=183

q=61

now we have what m∠Q is, so just subtract that from 180 to get m∠P

180-61=119