Question

A pair of earrings has blue wedges that are all the same size. One earring has a 25 degree yellow wedge. The other has a 14 degree yellow wedge. For the measure of angle of a blue wedge. How do the angle measures of the earrings relate? How can you use algebra to solve this problem?

Answer 1

We are given with wedges with angles 25 degrees and 14 degrees. In this case, we can determine the arc length by determining as well the radius of the wedge and converting the degrees of angle to radians. If radius is assumed to be equal, then the wedge with larger angle has a larger arc length

Answer 2

The blue wedges are 10 degrees each.

Explanation:

A pair of earrings has blue wedges that are all the same size.

One earring has a 25 degree yellow wedge

and the other has yellow wedge that are 14 degree.

The earrings are circular so the total would be 360 degrees for each.

We want to find the number under 360 degrees that are 25 degree and 14 degree multiples.

now we multiply 25 × 14 = 350

Therefore 360 - 350 = 10

so the blue wedges are 10 degrees each.