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Understanding Quadrilaterals
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07/08/2021 10:38 am
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Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
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07/08/2021 10:39 am
Let ABCD be a parallelogram.
Sum of adjacent angles of a parallelogram = 180°
∠A + ∠B = 180°
⇒ 2∠A = 180°
⇒ ∠A = 90°
90° + ∠B = 180°
⇒ ∠B = 180° – 90° = 90°
∠A = ∠C = 90°
∠B = ∠D = 90°