High School

Daryl spun the arrow, and it turned through 56 pegs, which means it went through 56 one-degree angles. What was the measure of the angle represented by the pegs?

1) 50 degrees
2) 56 degrees
3) 60 degrees
4) 66 degrees

Answer :

Final answer:

If Daryl's arrow turned through 56 pegs, each representing a one-degree angle, then the measure of the angle that the arrow spun through is 56 degrees. This is derived from adding up the 56 one-degree angles.

Explanation:

The question is about the measure of an angle that the arrow spun through. If the arrow turned through 56 pegs and each peg represents a one-degree angle, then the total angle through which the arrow spun equals to the sum of these one-degree angles.

The concept is quite simple, if we have a single one-degree angle, our measure is 1 degree. If we have 2 one-degree angles, our measure becomes 2 degrees. So, if Daryl's arrow spun through 56 one-degree angles, it's the same as saying the arrow turned through a 56-degree angle.

This is essentially addition under the context of angle measurements. Each spin through a peg adds another degree to the total angle measurement. So spinning through 56 pegs means adding up 56 one-degree angles, which equals to a total angle measure of 56 degrees.

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