SOLUTION: Find the measure of each angle: angle A and angle B are supplementary, m angle A=3x+12 and m angle B=2x-22 Thank you!

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Question 162591This question is from textbook Prentice Hall Geometry
: Find the measure of each angle:
angle A and angle B are supplementary, m angle A=3x+12 and m angle B=2x-22
Thank you! This question is from textbook Prentice Hall Geometry

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

A%2BB=180%5Eo --------------------> working eqn
but A=3x%2B12; B=2x-22
Subst. in working eqn
3x%2B12%2B2x-22=180%5Eo
5x=180%5Eo%2B22-12, combine similar terms
5x=190 ----> cross%285%29x%2Fcross%285%29=cross%28190%2938%2Fcross%285%29
x=38%5Eo
So,
A=3%2A38%2B12=114%2B12
highlight%28A=126%5Eo%29
B=2%2A38-22=76-22
highlight%28B=54%5Eo%29
In doubt? go back working eqn,
126%5Eo%2B54%5Eo=180%5Eo
180%5Eo=180%5Eo
Thank you,
Jojo