SOLUTION: The measure of an is one third the measure of its compliment. Find the measure of the angle

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Question 158775: The measure of an is one third the measure of its compliment. Find the measure of the angle
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
A is a compliment of B.
therefore A%2BB=90 ----> working eqn, but A=%281%2F3%29B, substitute in working eqn:
%281%2F3%29B%2BB=90
%28B%2B3B%29%2F3=90
4B=3%2A90=270
cross%284%29B%2Fcross%284%29=cross%28270%2967.50%2Fcross%284%29
B=67.50deg
A%2B67.50=90
A=90-67.5=22.5deg
: 22.5%2B67.50=90
90=90, complement
Thank you,
Jojo