Question

find the measure of an angle which is 36 degree more than its complement

Answer 1

Heya !!




Let angle be X°.






Other angle = X + 36





We know that,


Sum of two complementary angles = 90





X + X + 36 = 90



2X = 54



X = 27°




Angle = X = 27°




Complement of angle X = 90-X = 90-27 = 63°.

Answer 2

Given,

An angle that is 36 degrees more than its complement.

To Find,

the measure of the angle =?

Solution,

We can solve the question as follows:

It is given that an angle is 36 degrees more than its complement.

Let the complement angle be equal to x. Then, the other angle will be equal to 36 + x.

$Complement\: angle = x\: degrees$

$The\: other\: angle = (36 + x)\: degrees$

Now, we know that the sum of two complementary angles is always equal to 90 degrees. Therefore, the sum of x and (x + 36) will be equal to 90.

$x + (x + 36) = 90^{o}$

$2x + 36 = 90^{o}$

$2x = 90 - 36 = 54$

$x = \frac{54}{2} = 27^{o}$

Therefore, the angle will be equal to,

$= x + 36$

$= 27 + 36$

$= 63^{o}$

Hence, the measure of the other angle is 63 degrees.