Multiple Choice
Given an angle in standard position, which of the following is the closest to its measure in degrees?
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1. Measuring Angles
Angles in Standard Position
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If an angle is in standard position, in which quadrant does its terminal side lie?
A
Quadrant I
B
Quadrant IV
C
Quadrant III
D
Quadrant II
Verified step by step guidance1
Recall that angles in standard position start from the positive x-axis and rotate counterclockwise.
Identify the range of angles for each quadrant: Quadrant I is from 0° to 90°, Quadrant II is from 90° to 180°, Quadrant III is from 180° to 270°, and Quadrant IV is from 270° to 360°.
Given the angle is 100°, determine which quadrant this angle falls into by comparing it to the ranges above.
Since 100° is greater than 90° but less than 180°, it lies in Quadrant II.
Therefore, the terminal side of the 100° angle in standard position is in Quadrant II.
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