practice with parallelogram theorems. what are the remaining angle measures if the figure is to be a…
practice with parallelogram theorems. what are the remaining angle measures if the figure is to be a parallelogram? m∠b = m∠c = m∠d =
Answer
Explanation:
Step1: Recall parallelogram angle - properties
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 is opposite to ∠A. So, ∠C = ∠A = 79°.
Step4: Find ∠D
∠D is opposite to ∠B. So, ∠D = ∠B = 101°.
Answer:
m∠B = 101° m∠C = 79° m∠D = 101°