Question

find the value of x in the triangle shown below.
x =
5.7
6
6
56

Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, the sum of interior angles is \(180^{\circ}\). Let the two equal angles be \(x\) and the third angle be \(56^{\circ}\).

Step2: Set up the equation

\(x + x+56^{\circ}=180^{\circ}\), which simplifies to \(2x=180^{\circ}- 56^{\circ}\).

Step3: Solve for \(x\)

\(2x = 124^{\circ}\), then \(x=\frac{124^{\circ}}{2}\).

Answer:

\(62\)