An angle is equal to 3 times its complement. Find its measure.
 

Asked by atharvakute | 7th Jul, 2016, 07:56: PM

Expert Answer:

begin mathsize 16px style L e t space t h e space m e a s u r e space o f space a n space a n g l e space b e space x.
T h e n comma space m e a s u r e space o f space i t s space c o m p l e m e n t equals 90 degree minus x
A c c o r d i n g space t o space q u e s t i o n comma space w e space h a v e
x equals 3 left parenthesis 90 degree minus x right parenthesis
rightwards double arrow x equals 270 degree minus 3 x
rightwards double arrow 4 x equals 270 degree
rightwards double arrow x equals 67.5 degree end style

Answered by Rashmi Khot | 8th Jul, 2016, 08:58: AM

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