Question

The measure of one angle of a parallelogram is 80 degree what are the measure of the remaining angles

Answer 1

Let the parallelogram be ABCD and angle A be 80°

Angle A + angle B = 180° (alternate angles of a parallelogram are supplementary)

80+ angle B = 180
Angle B = 180-80 = 100

Angle C = angle A (interior opposite angles of a parallelogram are equal)

Angle C = 80°

Angle D = angle B (interior opposite angles of a parallelogram are equal)

Angle D = 100°

Answer 2

angle A +angle B = 180°
therefore , 80+angle B =180° (sum of adjacent angles of //gm )
angle B =180 - 80
=100 °
therefore angle B =100°
also, angle C=angle A ( opp. angles of //gm are equal)
angle C =80°
angle B =angle D (opp. angles of //gm is equal)
therefore angle D = 100°