Question

Find the measure of angle which is equal to its complement and equal to its supplement

Answer 1

Answer:

Hence,The Supplement Measure is 90°,

And the Complement Measure is 45°

Step-by-step explanation:

Supplement

Let the angle be x.

x + x = 180°

2x= 180°

X= 180/2

X= 90°

Complement

Let the angle be x.

x + x = 90°

2x = 90°

X= 90/2

X= 45°.

Answer 2

Let the measure of the required angle be x°.

Then,in case of complementary angles.

➞ x+x=90°

➞ 2x=90°

➞ x=45°

Hence,measure of the angle that is equal to its complement is 45°.

Let the measure of the required angle be x°.

Then,in case of supplementary angles.

➝x+x=180°

➝ 2x=180°

➝ x=90°

Hence,measure of the angle that is equal to its supplement is 90°.