Question

construct an equilateral triangle with each side having length 2k. answers through (a) to (d). (a) what is the measure of each angle? (type a whole number.)

Explanation:

Step1: Recall angle - sum property

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

Step2: Use equilateral triangle property

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

Step3: Solve for \(x\)

Dividing both sides of the equation \(3x = 180^{\circ}\) by 3, we get \(x=\frac{180^{\circ}}{3}=60^{\circ}\).

Answer:

60