Question

what is the value of c?
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Explanation:

Step1: Use the property of isosceles triangle

In an isosceles triangle, the base angles are equal. The sum of interior angles of a triangle is \(180^{\circ}\).
Let \(c\) be the unknown angle. We know one angle is \(112^{\circ}\).

Step2: Calculate \(c\)

Since \(112^{\circ}\) is the larger angle (if \(c\) were equal to \(112^{\circ}\), the sum of angles would exceed \(180^{\circ}\)), we use the formula \(c=\frac{180 - 112}{2}\).

$$c=\frac{68}{2}=34$$

Answer:

\(34\)