Question

what are the values of the angles in the triangle shown? 90 45 60 180

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is 180°.

Step2: Identify the type of triangle

The triangle has all sides equal (indicated by the tick - marks), so it is an equilateral triangle.

Step3: Calculate each angle

In an equilateral triangle, all angles are equal. Let each angle be \(x\). Then \(x + x+x=180^{\circ}\), or \(3x = 180^{\circ}\). Solving for \(x\), we get \(x=\frac{180^{\circ}}{3}=60^{\circ}\).

Answer:

60