Question

estelle works at a small market that sells cheese. one of estelles jobs is to cut each wheel of cheese into wedges. she cuts each wheel into different - sized wedges so that customers can buy as much or as little as they need. find the unknown angle measure, x. x = square^{circ}

Explanation:

Step1: Sum of angles in a circle

The sum of angles around a point (in a circle) is \(360^{\circ}\).

Step2: Set up the equation

We have \(x + 45^{\circ}+45^{\circ}+45^{\circ}+60^{\circ}+60^{\circ}=360^{\circ}\).
First, calculate the sum of the known angles: \(45\times3 + 60\times2=135 + 120=255^{\circ}\).
Then, solve for \(x\): \(x=360^{\circ}-255^{\circ}\).

Answer:

\(x = 105^{\circ}\)