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Parallelogram Consecutive Angles Theorem

Parallelogram Consecutive Angles Theorem

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Statement:

In a parallelogram, each pair of consecutive angles is supplementary (their measures add up to 180°.

In simple terms:

Angles that are next to each other in a parallelogram always add up to 180°.

Example:

In parallelogram ABCD, ∠A + ∠B = 180°, ∠B + ∠C = 180°, and so on.


Parallelogram ABCD. Angle A is 100 degrees, angle B is 80 degrees, angle C is 100 degrees, and angle D is 80 degrees.

Why It Matters:

This helps in solving for unknown angles in parallelograms and in proving that a quadrilateral is a parallelogram.

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