Find (if possible) the complement and supplement of the given angle. 51°
A) complement: 129°; supplement: 39°
B) complement: 51°; supplement: 129°
C) complement : 129°; supplement: 309°
D) complement: 39°; supplement: 309°
E) complement: 39°; supplement: 129°

Question

Quizplus · Accepted Answer

The complement of an angle is the angle that when added to the given angle, will result in a sum of 90°. Therefore, the complement of 51° is 90° - 51° = 39°.
The supplement of an angle is the angle that when added to the given angle, will result in a sum of 180°. Therefore, the supplement of 51° is 180° - 51° = 129°.
Only option E has both complement and supplement values that match these rules.

Find (If Possible) the Complement and Supplement of the Given