Select all that are measures of angles coterminal with a 145° angle.
Solution:
The angles which will be coterminal with 145° angle will be -215°, 505°, -575°, 865°, -1135° …….
The angles coterminal with 145° will be an infinite list.
We add or subtract 360° to the given angle to get the coterminal angles.
We add or subtract multiples of 360° to find all the coterminal angles.
Between 0° and 360° the only coterminal angle of 145° will be 145 - 360 = -215°.
After that, the coterminal angle will be repeated after every 360° rotation.
The angles which will be coterminal with 145° angle will be -215°, 505°, -575°, 865°, -1135° …
Select all that are measures of angles coterminal with a 145° angle.
Summary:
The angles which will be coterminal with 145° angle will be -215°, 505°, -575°, 865°, -1135° …The angles coterminal with 145° will be an infinite list. Between 0° and 360° the only coterminal angle will - 215°.
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