Question

what is the m∠a?

Explanation:

Step1: Identify the shape

The given shape is a parallelogram. In a parallelogram, consecutive angles are supplementary.

Step2: Use the supplementary angle property

If \( \angle D = 82^{\circ}\), and \( \angle A\) and \( \angle D\) are consecutive angles in a parallelogram, then \( m\angle A+m\angle D = 180^{\circ}\).
Substitute \( m\angle D = 82^{\circ}\) into the equation: \( m\angle A+82^{\circ}=180^{\circ}\).
Solve for \( m\angle A\): \( m\angle A=180^{\circ}- 82^{\circ}\).
\( m\angle A = 98^{\circ}\)

Answer:

\(98^{\circ}\)