Question

Find the measure of an angle if it is 14 degree less than three times its complement.​

Answer 1

Question -:

Find the measure of an angle if it is 14° less than three times its complement.

Answer -:

Let the angle be x

Then its complement = (90 - x).

According to the question,

x = 3 (90 - x) - 14

x = 270 - 3x - 14

x = 256 - 3x

4x = 256

x = $\frac{256}{4}$

x = 64°.

Hope it helps! :)