Question

the measure of an angle is 63 degrees.Find the measure of the angle supplementary to the complement. A)127 B)27 C)117 D)153

Answer 1

27 degree

bcz,

complement means 90 degree

so angle A+angle B=90degree

63 degree +angle B=90 degree

angle B=90-63

angle B=27degree

hence it is 27degree

Answer 2

Answer:

The measure of supplementary to the complementary angle of 63° is 153°.

Step-by-step explanation:

Given, the measure of an angle, let $x= 63^{o}$

Two angles are said to be complementary angles, when the sum of the angles is equal to 90°.

Let the complementary angle be $y$.

Then $x+y=90^o$

Substituting the value of x,

$63^o+y=90^o$

$y=90^o-63^o=27^o$

Therefore, the measure of the complementary angle is 27°.

Given to find the angle supplementary to the complement.

Two angles are said to be supplementary angles, when the sum of the angles is equal to 180°.

Let the supplementary angle be $z$.

Then $y+z=180^o$

Substituting the value of y,

$27^o+z=180^o$

$z=180^o-27^o=153^o$

Therefore, the measure of the supplementary angle is 153°.

Therefore, the measure of supplementary to the complementary angle of 63° is 153°.

Hence, the correct answer is option D.