if two adjacent angle of a parallelogram are equal then find the measu

1.	if two adjacent angle of a parallelogram are equal then find the measure of each angle of the parallelogram
Answer» ong>Answer: LET ABCD be the PARALLELOGRAM with ∠A = ∠B. We know: Sum of adjacent angles = 180° ∠A + ∠B = 180º 2∠A = 180º (∠A = ∠B) ∠A = 90º ∠B = ∠A = 90º ∠C = ∠A = 90º (Opposite angles) ∠D = ∠B = 90º (Opposite angles) Thus, each angle of the parallelogram measures 90º.

if two adjacent angle of a parallelogram are equal then find the measure of each angle of the parallelogram

Answer»

ong>Answer:

LET ABCD be the PARALLELOGRAM with ∠A = ∠B.

We know: Sum of adjacent angles = 180°

∠A + ∠B = 180º

2∠A = 180º (∠A = ∠B)

∠A = 90º

∠B = ∠A = 90º

∠C = ∠A = 90º (Opposite angles)

∠D = ∠B = 90º (Opposite angles)

Thus, each angle of the parallelogram measures 90º.