Question

find the measure of an angle if five times its complement is 12 degree less than twice its supplement

Answer 1

Hey

Here is your answer,

5 < 90 - x > = 2 < 180 - x > - 12
450 - 5x = 348 - 2x
450 - 348 = -2x + 5x
102 = 3x
x = 102 / 3
x = 34

Hope it helps you!

Answer 2

Answer:

The measure of the required angle is 34°

Step-by-step explanation:

Let the measure of the angle be x

Then its complement angle is given by : 90 - x

And its supplement is given by : 180 - x

Now, According to given condition :

5 × (90 - x) = 2 × (180 - x) - 12

⇒ 450 - 5·x = 360 - 2·x - 12

⇒ 3·x = 102

⇒ x = 34

Hence, the measure of the required angle is 34°