The terminal side of a 130° angle in standard position lies in the quadrant.
Two angles that are coterminal to 130 are and

The terminal side of a  130° angle lies in the second quadrant.

Given angle measures  130°.

The whole graph plane is divided into four quadrants, namely first quadrant, second quadrant, third quadrant and fourth quadrant.

The first quadrant has range of angles from 0 degrees to 90 degrees.

The second quadrant has range of angles from 90 degrees to 180 degrees.

The third quadrant has range of angles from 180 degrees to 270 degrees.

The fourth quadrant has range of angles from 270 degrees to 360 degrees.

Since the given angle measures  130°, thus its plot has initial side on zero degree and terminal side on  130° in the second quadrant, as

Thus, we have terminal side of a 130° angle lying in the second quadrant.

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The answer is below

Step-by-step explanation:

The angle 130° lies in the second quadrant since it is between 90° and 180°. Coterminal angles are angles that share the same initial and terminal side with an angle. For a angle, there are many coterminal angles, to find a coterminal angle all you have to add or subtract 360°.

The positive angle that is coterminal to 130° are:

130 + 360 = 490°

490 + 360 = 850°

The negative angle that is coterminal to 130° are:

130 - 360 = -230°

-230 - 360 = -590°

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step-by-step explanation: