The mZP is three less than twice the measure of 4Q If P and ZQ are supplementary angles,find the measures of both angles.
mZQ =mZP =
Let angle P be x and angle Q be y:
2y-3=x
x+y=180
x=180-y
So, substitute into the first equation:
2y-3=180-y.
Use a little algebra:
2y-3=180-y
2y+y-3=180-y+y
3y-3=180
3y-3+3=180+3
3y=183
(3y/3)=(183/3)
y=183/3=61
