Question

question 45 of 45 in the triangle below, what is the measure of ∠c? a. 30° b. 60° c. 90° d. 120°

Explanation:

Step1: Identify the type of triangle

Since all three sides of the triangle have a length of 15, it is an equilateral triangle. In an equilateral triangle, all angles are equal.

Step2: Recall the angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the measure of each angle be \(x\). So \(x + x+x=180^{\circ}\), or \(3x = 180^{\circ}\).

Step3: Solve for the angle measure

Dividing both sides of the equation \(3x = 180^{\circ}\) by 3 gives \(x=\frac{180^{\circ}}{3}=60^{\circ}\). So \(\angle C = 60^{\circ}\).

Answer:

B. 60°