How large is an angle whose supplement equals 12° less than three times its complement?

How large is an angle whose supplement equals 12° less than three times its complement?

Answer:

the angle is 39°.

Step-by-step explanation:

180° - x = 270° - 3x - 12°

Combining like terms:

-x + 3x = 270° - 12° - 180°

2x = 78°

Dividing both sides by 2:

x = 39°