Question

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

Explanation:

Step1: Use the property of isosceles triangle

Since two sides of the triangle are equal (both are 4), the triangle is isosceles. In an isosceles triangle, the angles opposite the equal sides are equal. Let the two equal angles be \(x\) and the third angle is \(56^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of interior angles of a triangle is \(180^{\circ}\). So, \(x + x+56^{\circ}=180^{\circ}\), which simplifies to \(2x=180^{\circ}- 56^{\circ}\). Then \(2x = 124^{\circ}\), and \(x=\frac{124^{\circ}}{2}\).

Answer:

\(62\)