Question

what is the m∠c?

Explanation:

Step1: Identify the shape

The figure is a parallelogram (opposite sides are equal and parallel).

Step2: Use the property of consecutive angles in a parallelogram

In a parallelogram, consecutive angles are supplementary. So, \(m\angle C + m\angle D= 180^{\circ}\).

Step3: Solve for \(m\angle C\)

Given \(m\angle D = 82^{\circ}\), then \(m\angle C=180^{\circ}- 82^{\circ}\).

$$m\angle C = 98^{\circ}$$

Answer:

\(98^{\circ}\)