Question

practice with parallelogram theorems. what are the remaining angle measures if the figure is to be a parallelogram? m∠b = m∠c = m∠d =

Explanation:

Step1: Recall parallelogram angle - property

In a parallelogram, opposite angles are equal and adjacent angles are supplementary (sum to 180°).

Step2: Find angle B

Since ∠A and ∠B are adjacent angles, and ∠A = 79°, then ∠B=180° - ∠A. So, ∠B = 180°-79° = 101°.

Step3: Find angle C

∠C is opposite to ∠A. Opposite angles in a parallelogram are equal. So, ∠C = ∠A=79°.

Step4: Find angle D

∠D is opposite to ∠B. Opposite angles in a parallelogram are equal. So, ∠D = ∠B = 101°.

Answer:

$m\angle B = 101^{\circ}$
$m\angle C = 79^{\circ}$
$m\angle D = 101^{\circ}$