SOLUTION: Find the measure of an angle if its measure is four times the measure of its complement.

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Question 160978: Find the measure of an angle if its measure is four times the measure of its complement.
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!

A%2BB=90 ----> EQN 1
But, A=4B ---> EQN 2: 4 times the measure of its complement
Susbt. EQN 2 in EQN 1:
4B%2BB=90
5B=90 -----> cross%285%29B%2Fcross%285%29=cross%2890%2918%2Fcross%285%29
B=18deg
Go back EQN 2:
A=4%2A18=72deg
Check via EQN 1:
72%2B18=90
90=90
Thank you,
Jojo