Question

find the measure of an angle whose supplement is 3 times of it's compliment​

Answer 1

Answer:

Question 521225: What is the measure of an angle whose supplement is three times its complement? let x be that angle, its supplement and z its complement. x=45. so the answer is 45.

Answer 2

Answer:

Let the angle to be solved be  

x

Let the supplement/compliment by  

y

x

+

y

=

90

Complimentary angles add up to 90 degrees.

x

+

3

y

=

180

Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

x

+

y

=

90

Isolate  

x

:

x

=

90

−

y

Input into the other equation:

(

90

−

y

)

+

3

y

=

180

Combine like terms, isolate  

y

and its coefficients:

2

y

=

90

Isolate  

y

y

=

45

Input into the first equation:

x

+

45

=

90

Isolate  

x

:

x

=

45

degrees

Step-by-step explanation: