math homework help

Question

if measurement angle p is three less than twice the measure of measurement angle Q, and measurement angle P and Q are supplementary angles, find each measure.

Answer 1

q represents the measure of angle Q

2q - 3 represents the measure of angle P

P + Q = 180

2q - 3 + q = 180

Can you solve for q and answer?

Answer 2

P = 2Q-3

P+Q = 180 for supplementary angles

substitute right side of 1st equation into 2nd

2Q-3 +Q =180

combine like terms

3Q =180+3 = 183

3Q=183

divide by 3

Q = 61 degrees

P= 180-61 = 119 degrees

119=2(61)-3= 122-3=119