IXL | Use fractions to find the measure of an angle

This angle cuts out

of the circle. Find the measure of the angle.

Start by writing

as a fraction with a denominator of 360.

360

So, the measure of the angle is

ref_doc_title.

Learn with an example

question

This angle cuts out

of the circle. Find the measure of the angle.

Start by writing

as a fraction with a denominator of 360.

360

So, the measure of the angle is

key idea

Angles are measured in degrees.

360

of a circle is 1°.

An angle that cuts out

360

of a circle has a measure of

degrees.

solution

This angle cuts out

of the circle.

To find the measure of the angle, write

as a fraction with a denominator of 360. Find a number that makes 360 when you multiply it by 3.

360

To find the missing number, divide 360 by 3.

360

120

Now, multiply both the numerator and the denominator by 120.

120

360

So, the measure of the angle is

120°.

Looking for more? Try these:

Lesson: What is an angle?

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Teacher tools

Work it out

Not feeling ready yet? These can help:

P.8Equivalent fractions: find the missing numerator or denominator

K.14Divide larger numbers by 1-digit numbers

Lesson: What is an angle?

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