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 = 11 79 101 180

Explanation:

Step1: Recall parallelogram angle - properties

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 m∠B=180 - 79 = 101°.

Step3: Find angle C

∠A and ∠C are opposite angles. So, m∠C = 79°.

Step4: Find angle D

∠B and ∠D are opposite angles. So, m∠D = 101°.

Answer:

m∠B = 101°
m∠C = 79°
m∠D = 101°