Question

Find the measure of an angle , if six times it's complement is 120° less than twice it's supplement

Answer 1

Answer:

Let the Measure of Angle be a.

• ATQ ;

⇢ 6 × Compliment = 2 × Supplement - 120

⇢ 6(90 - a) = 2(180 - a) - 120

⇢ 540 - 6a = 360 - 2a - 120

⇢ 540 - 360 + 120 = 6a - 2a

⇢ 300 = 4a

⇢ 300/4 = a

⇢ a = 75°