Question

a catering company gets an order to serve triangular cheese wedges at an event. if they want the triangular wedges to have all of the sides equal length, what will the angle measures be for each corner of the cheese wedge? review the linked section of the prealgebra textbook for problem help

Explanation:

Step1: Recall triangle angle sum property

The sum of interior angles of a triangle is \(180^{\circ}\).

Step2: Use properties of equilateral triangle

In an equilateral triangle (all sides equal), all angles are equal. Let each angle be \(x\). Then \(x + x+ x=180^{\circ}\), i.e., \(3x = 180^{\circ}\).

Step3: Solve for \(x\)

Divide both sides by 3: \(x=\frac{180^{\circ}}{3}=60^{\circ}\)

Answer:

Each angle measure is \(60^{\circ}\)