Question

what are the remaining angle measures if the figure is to be a parallelogram?
$m∠b=□^{circ }$
$m∠c=□^{circ }$
$m∠d=□^{circ }$

Explanation:

Step1: Use the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. So, \(m\angle A+m\angle B = 180^{\circ}\). Given \(m\angle A = 79^{\circ}\), then \(m\angle B=180^{\circ}-79^{\circ}=101^{\circ}\).

Step2: Use the property of opposite angles in a parallelogram

Opposite angles in a parallelogram are equal. So, \(m\angle C=m\angle A = 79^{\circ}\) and \(m\angle D=m\angle B = 101^{\circ}\).

Answer:

\(m\angle B = 101^{\circ}\), \(m\angle C = 79^{\circ}\), \(m\angle D = 101^{\circ}\)