Question

Find the measure of an angle if six times its complement is 12° less than

twice its supplement.​

Answer 1

Step-by-step explanation:

Given: -

• times its complement is 12° less than twice its supplement.

To Find : -

• the measure of an angle

Solution: -

Let the angle be x

Complement = 90 - x

Supplement = 180 - x

☯ According to the Question : -

➽ 6 (90 – x) + 12 = 2 (180 – x)

➽ 540 - 6x + 12 = 360 - 2x

➽ 552 - 360 = - 2x + 6x

➽ 192 = 4x

➽ x = 192/4

➽ x = 48

Hence the measure of an 48°