Question

one angle of a parallelogram are in the ratio of 62° find the measure of the remaining angle​

Answer 1

In the figure :

ABCD is a parallelogram.

∠DAB = 60°

In a parallelogram , opposite angles are equal .

∴∠DAB =∠DCB =60°

Also , in a parallelogram , adjacent angles are supplementary.

∠DAB + ∠ABC = 180°

∠ABC = 180° - 60°

= 120°

∠ABC = ∠ADC =120° [opposite angles are equal]

Answer 2

Answer:

In the figure :

ABCD is a parallelogram.

∠DAB = 60°

In a parallelogram , opposite angles are equal .

∴∠DAB =∠DCB =60°

Also , in a parallelogram , adjacent angles are supplementary.

∠DAB + ∠ABC = 180°

∠ABC = 180° - 60°

= 120°

∠ABC = ∠ADC =120° [opposite angles are equal]