151,593 views
36 votes
36 votes
Find the measure of the complement and the supplement of 23°. what is the measure of the complement

User Peter Lustig
by
2.7k points

1 Answer

14 votes
14 votes

Answer:

  • complement: 67°
  • supplement: 157°

Explanation:

You want the complement and supplement of the angle 23°.

Complement

An angle and its complement total 90°. Let c represent the complement of the angle. Then we have ...

c + 23° = 90°

c = 90° -23° = 67°

The complement of the angle is 67°.

Supplement

An angle and its supplement total 180°. Let s represent the supplement of the angle. Then we have ...

s + 23° = 180°

s = 180° -23° = 157°

The supplement of the angle is 157°.

User Jeremy Allen
by
2.3k points