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 sides equal (marked with red dashes), so it is isosceles. In an isosceles triangle, the base - angles are equal.

Step2: Use angle - sum property of a triangle

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

Step3: Solve for \(x\)

We have \(2x = 120^{\circ}\), then \(x=\frac{120^{\circ}}{2}=60^{\circ}\).

Answer:

A. \(60^{\circ}\)