The measure of the supplement of an angle is 46 more than 3 times the complement of the angle. Find the angle.

A) angle = 22

B) angle = 68

C) angle = 112

D) angle = 44

45 degrees

Step-by-step explanation:

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) + 3y=180Combine like terms, isolate y and its coefficients:2y=90 Isolate yy=45 Input into the first equation:x+45=90 Isolate x:x=45 degrees