Question

one angle of a parallelogram is 100 degree find the measure of the remaining three angles​

Answer 1

Step-by-step explanation:

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Answer 2

Let's say ABCD is a parallelogram.

Angle A= 100 degree

Angle C= Angle A (Opposite angle of parallelogram is equal)

Thus, Angle C= 100 degree

Now, we know that opposite sides of parallelogram are parallel.

So, Angle A + Angle D= 180 degree (co-interior angle; when a transversal passes through two parallel line the angle on same side of the transversal i.e co-interior angles is equal to 180 degree )

Angle D= 80 degree

Similarly,

Angle

Angle C + Angle B = 180 degree (co-interior angle)

Angle B= 80 degree

Thus, Angle A= 100 degree

Angle B= 80 degree

Angle C= 100 degree

Angle D= 80 degree