Question

1. what is the measure of each angle in an equilateral triangle? 90 degrees 30 degrees 45 degrees 60 degrees

Explanation:

Step1: Recall the sum of interior angles of a triangle

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

Step2: Use the property of an equilateral triangle

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

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 degrees