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Consecutive angles of a parallelogram are supplementary. Let us learn about these two special theorems of a parallelogram in detail. Theorem: In a parallelogram, the opposite angles are equal. Given: ABCD is a parallelogram, with four angles ∠A, ∠B, ∠C, ∠D respectively. To Prove: ∠A =∠C and ∠B=∠D.
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6 Φεβ 2024 · Calculate the unknown defining areas, lengths and angles of a paralellogram. Online calculators and formulas for an annulus and other geometry problems.
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The opposite angles of a parallelogram are equal. The consecutive angles of a parallelogram are supplementary. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram bisects it into two congruent triangles.
THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent. THEOREM: If a quadrilateral is a parallelogram, it has consecutive angles which are supplementary. THEOREM: If a quadrilateral is a parallelogram, it has diagonals which bisect each other.
Parallelogram consecutive angles theorem: Consecutive angles of a parallelogram are supplementary. Theorem 1: Opposite angles of a parallelogram are equal. Given: PQRS is a parallelogram. To prove: ∠ P = ∠ R and ∠ Q = ∠ S. Proof: In the parallelogram PQRS, diagonal PR is dividing the parallelogram into two triangles. Also, PQ || SR and QR || PS.