Question #af17e

1 Answer
Gaya3
Oct 1, 2017

#45^@#

Explanation:

Let's call that angle #theta#.

Complimentary angles are when 2 angles sum up to #90^@#.
#=theta+"complimentary angle"= 90^@#
#="complimentary Angle" = 90-theta#

Supplementary angles are when 2 angles sum up to #180^@#
#=theta+"supplementary angle"= 180^@#
#="supplementary Angle" = 180-theta#

According to the que,

#180-theta=3(90-theta)#
#180-theta=270-3theta#
#-theta+3theta=270-180#
#2theta=90#
#theta= 90/2=45^@#

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