High School

Find the complement and the supplement of an angle with the measure of 23 degrees 13 minutes.

Which of the following options correctly identifies the complement and the supplement of the given angle?

A) Complement: 66 degrees 47 minutes, Supplement: 113 degrees 47 minutes
B) Complement: 66 degrees 47 minutes, Supplement: 146 degrees 47 minutes
C) Complement: 56 degrees 47 minutes, Supplement: 113 degrees 47 minutes
D) Complement: 56 degrees 47 minutes, Supplement: 146 degrees 47 minutes

Answer :

Final answer:

To find the complement and supplement of an angle measuring 23 degrees 13 minutes, subtract the angle from 90 degrees to get the complement and from 180 degrees to get the supplement. The correct answer is Complement: 66 degrees 47 minutes, Supplement: 156 degrees 47 minutes.

Explanation:

The complement and the supplement of an angle with the measure 23 degrees 13 minutes:

  1. Complement: 66 degrees 47 minutes
  2. Supplement: 156 degrees 47 minutes

To find the complement, subtract the given angle from 90 degrees. To find the supplement, subtract the given angle from 180 degrees.

Therefore, the correct option is B) Complement: 66 degrees 47 minutes, Supplement: 156 degrees 47 minutes.

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