asked 138k views
19 votes
Find the angle between 0° and 360° that is coterminal with a -1300° angle.

1 Answer

14 votes

Answer:

140 degrees

Explanation:

Hi there!

To find a coterminal angle, we must either add or subtract a multiple of 360 to a given angle.

Because the given angle is -1300 degrees and we must find a coterminal angle between 0 and 360 degrees, we can try adding multiples of 360 to 1300 degrees.

You'll find that after we add 360 four times, we get 140 degrees. 140 degrees sits between 0 and 360 degrees. Therefore, the angle between 0 and 360 degrees coterminal with the angle measuring -1300 degrees is 140 degrees.

I hope this helps!

answered
User Rax Weber
by
8.3k points
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