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Home >> Parallelogram >> Opposite Angles of Parallelogram >>

Opposite Angles of Parallelogram

Area of Parallelogram Opposite Angles of Parallelogram Adjacent Angles of Parallelogram Diagonal Of Parallelogram Difference & Similarity between Rectangle & Parallelogram
Difference & Similarity between Square & Parallelogram Difference & Similarity between Square, Rectangle & Parallelogram Properties of Parallelogram

Measure of opposite angles of parallelogram is always equal.

Example 1: Observe the following diagram of parallelogram ABCD:



Solution: In the above parallelogram ABCD:
Angle A = Angle B
Angle C = Angle D
Because opposite angles of parallelogram are equal.

Example 2: In the given parallelogram PQRS, Angle P = 50 degree and angle Q = 130 degree. Find the measure of remaining angles.



Solution: In the given parallelogram PQRS:
Angle P = 50 degree (given)
Angle Q = 130 degree (given)

As we know that opposite angles of parallelogram are equal, so we get:
Angle P = Angle R = 50 degree
Angle Q = Angle S = 130 degree

And we get the following resultant diagram:




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