Properties of the Parallelogram: Property 2

Property 2

The sum of measures of each two conseutive angles in the parallelogram are supplementary.

Symbolic Representation

In the opposite figure,

∵ ABCD is a parallelogram

∴ m(∠A) + m(∠B) = 180∘ (two consecutive angles)

m(∠B) + m(∠C) = 180∘ (two consecutive angles)

m(∠C) + m(∠D) = 180∘ (two consecutive angles)

m(∠D) + m(∠A) = 180 (two consecutive angles)

Property 2 The sum of measures of each two conseutive angles in the parallelogram are supplementary. Symbolic Representation In the opposite figure, ∵ ABCD is a parallelogram ∴ m(∠A) + m(∠B) = 180∘ (two consecutive angles) m(∠B) + m(∠C) = 180∘ (two consecutive angles) m(∠C) + m(∠D) = 180∘ (two consecutive angles) m(∠D) + m(∠A) = 180 (two consecutive angles)	Please enable Java for an interactive construction (with Cinderella).
	Drag free points A, B, or C to realize that the sum of measures of each two consecutive angles in the parallelogram are supplementary.