Question

find the measure of the unknown angles. 11. 90° each 60° each 33.3° each 27° each

Explanation:

Step1: Identify the type of triangle

Since all three sides are \(7\) cm, it is an equilateral triangle.

Step2: Recall the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). In 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 of the equation \(3x = 180^{\circ}\) by \(3\). So, \(x=\frac{180^{\circ}}{3}=60^{\circ}\)

Answer:

\(60^{\circ}\) each