Question

find the measure of each angle in the following triangle. enter your answers in degrees by entering deg after any value that is in degrees.

m\angle e

Explanation:

Step1: Recognize the triangle type

The triangle has all sides marked equal (equilateral triangle).

Step2: Recall angle sum property

In any triangle, the sum of angles is \(180^{\circ}\). For an equilateral triangle, 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:

\(m\angle E = 60\mathrm{deg}\)