Angles in Standard Position
From greatest to least, what are the measures of the first two angles with negative measure that are coterminal with an angle measuring 250° ?° and °?
-110° and -470°
An angle whose measure is 405° is in standard position. In what quadrant does the terminal side of the angle fall? Quadrant I Quadrant II Quadrant III Quadrant IV
Quadrant I
A student says that the measures of coterminal angles are never opposites of each other. Is the student correct? Explain.
The student is not correct. For angles to be coterminal, the difference between their measures must be a multiple of 360°. The difference between 180° and -180° is 360°. Angles with measures 180° and -180° are coterminal.
The measure of the angle shown on the right is °?
945°
Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring -800°.
280°
Select all that are measures of angles coterminal with a -60° angle. -1020° -780° -420° 60° 120° 300° 420° 660°
300° , - 420°, 660°, - 780°.
From least to greatest, what are the measures of the next two angles with positive measure that are coterminal with an angle measuring 250°? ?° and °?
610° and 970°
An angle whose measure is -405° is in standard position. In what quadrant does the terminal side of the angle fall? Quadrant I Quadrant II Quadrant III Quadrant IV
Quadrant IV
Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring 800°.
80°
The angle shown is in standard position. Select the possible measures of the angle. -450° -360° -270° -90° 90° 270° 360° 450°
-450° -90° 270°
Select all that are measures of angles coterminal with a 145° angle. -575° -215° -145° -35° 215° 415° 505° 865°
-575° -215° 505° 865°
Which represents the measures of all angles coterminal with a 400° angle? a)360 + 40n, for any integer, n b)360 + 40n, for any whole number, n c)40 + 360n, for any integer, n d)40 + 360n, for any whole number, n
C
Select all angles that have a negative measure.
B,D,F