Final answer:
The measure in degrees of an angle that is 54 out of 360 of a turn through a circle is calculated by multiplying the fraction 54/360 by the total degrees in a circle (360°), which results in 60°.
Step-by-step explanation:
To find the measure in degrees of an angle that is 54 out of 360 of a turn through a circle, you can use the concept that a full turn is 360°. Therefore, to find a partial turn, you would calculate the fraction of the full turn by multiplying the total degrees in a circle by the fraction given. For this question, that means you would calculate 54/360 of 360°, which simplifies to 54/360 * 360°.
The calculation is as follows:
- First, simplify the fraction 54/360, which equals 1/6.6
- Then, multiply 1/6 by 360° to find the angle. 1/6 of 360° is 360°/6 = 60°.
Therefore, the angle measure is 60°.