Question

An angle whose measure is _____ is rotated more than halfway around a circle

Answer 1

60, and 210

Step-by-step explanation: Correct on Ed! 2020

Answer 2

The correct answer is 60⁰.

Explanation:

• An angle whose measure is 60⁰ is rotated more than halfway around a circle.
• Since, we have to find the measure of angle.
• As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.

• Considering that an angle is rotated more than halfway around a circle be
  `(1)/(6)`

• Multiplying
  `(1)/(6)` with 360⁰
• Therefore, it can show as
  `(1)/(6)`×360⁰
• Which gives the result to be 60⁰
• Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
• A single rotation around a circle is equal to 360 degrees.
• The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
• If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.