Angles in Standard Form & Attributes

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Which of the following degree measures is represented by this diagram?

Answer explanation

The correct degree measure represented by the diagram is 135 degrees.

Match the following angles to their standard position.

• 150°

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• −185°

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• −340°

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• −260°

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• 300°

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Which quadrant does 300° lie?

• I

• II

• III

• IV

Answer explanation

300° lies in the IV quadrant because in standard position, 300° is in the fourth quadrant where angles are between 270° and 360°.

Which quadrant does 40° lie?

• I

• II

• III

• IV

Answer explanation

40° lies in Quadrant I because in the Cartesian coordinate system, angles between 0° and 90° are in Quadrant I.

Which quadrant does -229° lie?

• I

• II

• III

• IV

Answer explanation

-229° lies in the second quadrant because it falls between 180° and 270°, which is where the second quadrant is located on the coordinate plane.

Which quadrant does -30° lie?

• I

• II

• III

• IV

Answer explanation

The angle -30° lies in the IV quadrant because negative angles are measured clockwise from the positive x-axis, placing it in the quadrant where x and y coordinates are both negative.