Question

Measure of one angle of a parallelogram is 100°. Find the other three angles.​

Answer 1

In the parallelogram ABCD, let ∠A = 100°

Since two adjacent angles of a parallelogram are supplementary,

∠A + ∠D = 180°

↠ 100° + ∠D = 180°

↠ ∠D = 180° - 100° = 80°

Also, since opposite angles are equal,

∠C = ∠A = 100° and ∠B = ∠D = 80°

Answer 2

Answer:

100,80

the angle adjacent to it would form a linear pair with it so its measure would be 180 - 100= 80 degree

in a parallelogram opposite angles are equal so the angle opposite to 100 degree would also be of 100 degree

and the angle opposite to 80 degree angle would measure 80 degree

thus we get the four angles as 100,80,100,80