Finding Exact Values Using Reference Angles

Charlotte is trying to find the reference angle for 150 degrees in her geometry class. What is the reference angle?

• 60 degrees

• 45 degrees

• 30 degrees

• 90 degrees

Mia is trying to find the reference angle for a rotation of 240 degrees in her geometry class.

• 120 degrees

• 60 degrees

• 30 degrees

• 180 degrees

Determine the quadrant of the angle 330 degrees.

• Third quadrant

• Fourth quadrant

• Second quadrant

• First quadrant

Scarlett is trying to find the reference angle for -45 degrees. What is the reference angle?

• 90 degrees

• 45 degrees

• 30 degrees

• 135 degrees

Anika is trying to graph the angle 120 degrees on the coordinate plane for her math project.

• Anika graphs the angle by drawing a straight line at 120 degrees from the origin.

• Anika graphs the angle by rotating 120 degrees counterclockwise from the positive x-axis.

• Anika graphs the angle by rotating 60 degrees counterclockwise from the positive x-axis.

• Anika graphs the angle by rotating 120 degrees clockwise from the positive x-axis.

Calculate the angle in standard position for 450 degrees.

• 180 degrees

• 90 degrees

• 360 degrees

• 450 degrees

Aria is trying to find the reference angle for 225 degrees. What is the reference angle?

• 30 degrees

• 60 degrees

• 90 degrees

• 45 degrees

Grace is trying to determine the quadrant for the angle 75 degrees in her geometry class.

• Third Quadrant

• First Quadrant

• Second Quadrant

• Fourth Quadrant

Aiden is trying to figure out how to convert 810 degrees to its reference angle for his geometry class.

• 180 degrees

• 90 degrees

• 270 degrees

• 360 degrees

Arjun is trying to convert -150 degrees to its reference angle while studying for his math exam.

• 30 degrees

• 150 degrees

• 210 degrees

• 90 degrees