Question

what is the value of c?

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two sides are equal), so the base - angles are equal.

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(c\) be one of the base - angles. We know one angle is \(47^{\circ}\). So \(c + c+47^{\circ}=180^{\circ}\), which simplifies to \(2c=180^{\circ}- 47^{\circ}\).
$$2c = 133^{\circ}$$
Then \(c=\frac{133^{\circ}}{2}\)

Answer:

\(47^{\circ}\)