Question

what are the values of b and c?

Explanation:

Step1: Identify the triangle type

Since two sides are equal (marked with the same tick), it is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are equal. So, \(c = 57^{\circ}\).

Step2: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). Let \(b\) be the unknown angle. Then \(b+57^{\circ}+57^{\circ}=180^{\circ}\).

$$b = 180^{\circ}-(57^{\circ}+57^{\circ})$$

$$b = 180^{\circ}-114^{\circ}$$

$$b = 66^{\circ}$$

Answer:

\(b = 66\), \(c = 57\)