The supplement of an angle is 42 degrees less than 3 times the complement of the angle. What is the measure of the angle?

24°

Step-by-step explanation:

Given the following :

supplement of an angle is 42 degrees less than 3 times the complement of the angle

Let the angle = θ

Supplement of angle = 180° - θ

Complement of angle = 90° - θ

Supplement of angle is also said to be:

(3 × complement) - 42° = 3(90° - θ) - 42°

= 270° - 3θ - 42° = 228° - 3θ

Hence,

180° - θ = 228° - 3θ

Solve for θ

-θ + 3θ = 228° - 180°

2θ = 48°

θ = 48°/2

θ = 24°

answer: the equation matches the regression

step-by-step explanation: