Question

3 times the measure of an angle is 14 less than the measure of its complement. What is the measure of the angle? 19° 57° 71° 76°

Answer 1

Hope this helps.....

Answer 2

The measure of the angle is 19°. So, option 'A' is correct.

Given:-

3 times the angle = 14 less than its complement

To Find:-

The measure of the angle.

Solution:-

We can simply calculate the measure of the angle by using the following procedure.

As

3 times the angle = 14 less than its complement

Let the measure of angle be 'x'.

So, according to the statement given

$3x = (90 - x) - 14$

on solving the equation,

$3x = 90 - 14 - x$

$3x = 76 - x$

$3x + x = 76$

$4x = 76$

$x = \frac{76}{4}$

$x = 19$

Hence, the measure of the angle is 19°. So, option 'A' is correct.

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