High School

What is the sum of two angles measuring 71 degrees and 68 degrees?

A. 139 degrees
B. 139 radians
C. 71 degrees
D. 68 degrees

Answer :

Final answer:

None of the provided options are correct. The arc of two angles measuring 71 degrees and 68 degrees is approximately 0.385π and 0.377π respectively.

Explanation:

The arc of two angles measuring 71 degrees and 68 degrees can be calculated by multiplying the measure of each angle by the circumference of a circle. The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. Let's assume the radius is 1 unit.

For the angle measuring 71 degrees, the arc length is 71/360 × 2π(1) = 0.385π.

For the angle measuring 68 degrees, the arc length is 68/360 × 2π(1) = 0.377π.

So, the arc of two angles measuring 71 degrees and 68 degrees is approximately 0.385π and 0.377π respectively.

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