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##### Asked by: Modesto Siman

science space and astronomy# What is the reference angle?

Last Updated: 9th March, 2020

**reference angle**is the positive acute

**angle**that can represent an

**angle**of any measure. The

**reference angle**is always the smallest

**angle**that you can make from the terminal side of an

**angle**(ie where the

**angle**ends) with the x-axis. A

**reference angle**always uses the x-axis as its frame of

**reference**.

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Likewise, what is reference angle and examples?

Finding **Reference Angles** **Example** 1: Find the **reference angle** for 150 degrees. 180 - 150 = 30 degrees. The **reference angle** is 30 degrees. If the terminal side of the **angle** is in the 3rd quadrant, we take 180 degrees and subtract it from the **angle** measure. 360 - 300 = 60 degrees.

Additionally, what is the reference angle of 210? **210** degrees is 30 degrees past 180, which means the **reference angle** is 30 degrees. Example: If we were asked to calculate the **reference angle** for 330 degrees, we would first sketch it. Next, we would see that it is 30 degrees from 360 degrees, which is the smallest **angle** to the x-axis and therefore the **reference angle**.

Also to know is, what is the reference angle of 90 degrees?

**Reference angle** for **90**°: **90**° (π / 2)

Can reference angles be negative?

It is always positive Regardless of which quadrant we are in, the **reference angle** is always made positive. Drag the point clockwise to make **negative angles**, and note how the **reference angle** remains positive.