Question

find the value of x in the triangle shown below.
x = □°

Explanation:

Step1: Identify the triangle type

This is an isosceles triangle (two sides are equal, length \(7\)). In an isosceles triangle, the angles opposite the equal sides are equal.

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the unknown angle be \(x\). We know one angle is \(66^{\circ}\). So, \(x + x+66^{\circ}=180^{\circ}\), which simplifies to \(2x=180^{\circ}- 66^{\circ}\).

$$2x = 114^{\circ}$$

$$x=\frac{114^{\circ}}{2}$$

Answer:

\(57\)