IXL - Coterminal angles (Algebra 2 practice)

Find the measure of a negative angle coterminal with 130°.

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Find the measure of a negative angle coterminal with 260°.

Two angles in standard position with the same terminal side are

coterminal.

Coterminal angles are always separated by complete revolutions. So, coterminal angles are always different by positive or negative multiples of 360°.

For instance, these angles are all coterminal:

–

315°

405°

45°

Terminal side

To find a negative angle coterminal with 260°, subtract multiples of 360°. Keep going until you get a negative result. Here is one example:

260°

–

360°

With 360°, the result is negative

–

100°

With 360°, the result is negative

So,

–

100°

is the measure of a negative angle coterminal with 260°.

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