Question

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

Explanation:

Step1: Recall properties of parallelogram

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

Step2: Find ∠B

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

Step3: Find ∠C

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

Step4: Find ∠D

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

Answer:

m∠B = 101°
m∠C = 79°
m∠D = 101°