Arc Length question:

Student A solve for the value of x. See work below.
the circle is split into 3 one is (2x+80) anouther peice is 3x and then theres A

2x + 80 + 3x = 180

5x + 80 = 180

5x = 100

x = 20

Did Student A solve the problem correctly? Explain your answer in 2-3 complete sentences.

1 answer

Student A did not solve the problem correctly. The given equation \(2x + 80 + 3x = 180\) suggests that these angles represent parts of a circle or arc, which should sum up to 360 degrees, not 180 degrees. Since the total should be 360 degrees, the correct setup should be \(2x + 80 + 3x = 360\), leading to a different solution for \(x\).