Question

find the value of x. 60° a. 60° b. 48° c. 120° d. 67°

Explanation:

Step1: Identify the triangle type

The triangle has two equal - side markings, so it is isosceles. In an isosceles triangle, the base - angles are equal.

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the two equal angles be \(x\) and the third angle be 60°. So, \(x + x+60^{\circ}=180^{\circ}\), which simplifies to \(2x=180^{\circ}- 60^{\circ}=120^{\circ}\).

Step3: Solve for \(x\)

Dividing both sides of \(2x = 120^{\circ}\) by 2, we get \(x = 60^{\circ}\).

Answer:

A. 60°