Angle A and B are complementary. The measure of angle B is three times the measure of angle A. What is the measure of angle A and B?

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Answer 1 · 2018-03-27T08:37:17

#A=22.5# and #B=67.5#

If A and B are complimentary,
#A+B=90# ........... Equation 1

The measure of angle B is three times the measure of angle A
#B=3A#..............Equation 2

Substituting the value of B from equation 2 in equation 1, we get

#A+3A=90#
#4A=90# and hence #A=22.5#

Putting this value of A in either of the equations and solving for B, we get #B=67.5#

Hence, #A=22.5# and #B=67.5#