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Classify an angle of 300

Step by step, with the reason for every step · Classifying angles and triangles · Geometry

Step by step

The question

Question: find what kind of angle 300° is.

1 Compare with 90° and 180°

There are five kinds of angles.

Each name says how big the angle is, next to 90° and 180°.

300 is more than 180.

300 > 180

Careful!

Obtuse angles stop at 180°.

More than 180° is reflex.

Careful: not 300° is obtuse ✗

2 Name it

So 300° is reflex.

300° is reflex

3 Check

Let's check with the picture.

The dashed line up makes a square corner: 90°.

The dashed line to the left makes a straight line: 180°.

Our angle goes past the straight line.

So it is reflex.

Let's look back.

First: compare with 90° and 180°.

Then: name it.

Last: check.

Answer
300° is reflex

Your turn

Try this one yourself, then check:

What kind of angle?
Show the answer
reflex

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