Video: Writing the Measure of an Angle in Degrees and as a Fraction of a Full Turn

Write the measure of the angle in degrees and as a fraction of a full turn.

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Video Transcript

Write the measure of the angle in degrees and as a fraction of a full turn.

The first thing the instructions say is to write the measure of the angle in degrees. When we see this symbol, it’s telling us that this angle is a right angle. And we know that right angles measure 90 degrees.

So the measure of the angle in degrees is 90 degrees. This is Sam. He’s going to show us what would happen if he turned 90 degrees. He’s starting facing this direction. And he’s going to do a turn.

It would look like this. This is what a 90-degree rotation looks like for Sam. The question is also asking us what fraction of a full turn this would be.

That was Sam’s first turn. How many turns would it take to help him get back to where he started? Here’s a second 90-degree turn, a third 90-degree turn, and a fourth 90-degree turn.

On the fourth turn, Sam is facing the same direction that he started. If we’re going to write his first turn as a fraction of a full turn, we know that his first turn was one out of the four turns a full turn would be.

90 degrees is one-fourth of a full turn.

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