Question

Camilla said that θ and its reference angle are always supplementary angles. Explain and correct Camilla’s error. Enter your answer.

Answer 1

Answer:

θ and its reference angle can be supplementary, but they do not have to be. If θ is in Quadrant I, for example, the reference angle is equal to θ.

Step-by-step explanation:

Answer 2

Answer:

An angle θ and its reference angle may or may not form supplementary angles.

Step-by-step explanation:

Given: Camilla said that θ and its reference angle are always supplementary angles.

To find: Camilla’s error

Solution:

The reference angle is the smallest angle made from the terminal side of an angle with the x-axis.

Two angles are said to be supplementary if their sum is $180^{\circ}$

An angle θ and its reference angle may or may not form supplementary angles.