Video: Finding the Measure of a Directed Angle

Find the measure of ∠𝜃.

00:55

Video Transcript

Find the measure of angle 𝜃.

Let’s think about the information we’re given. One of the angles measures 45 degrees, and the rest of this full turn is made up of angle 𝜃. We know that a circle is 360 degrees. One full turn is 360 degrees.

If we subtract 45 degrees from 360 degrees, we get 315 degrees. However, something else is happening here that we need to notice.

The turn is in the clockwise direction, and that indicates to us that we’re dealing with a negative angle measure. Angle 𝜃 measures negative 315 degrees.

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