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Question
Two opposite angles of a parallelogram are 100° each. Find each of the other two opposite angles.
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Solution
Given: Two opposite angles of a parallelogram are 100° each.
∵ Adjacent angles of a parallelogram are supplementary,
∴ ∠A + ∠B = 180°
⇒ 100° + ∠B = 180°
⇒ ∠B = 180° – 100°
⇒ ∠B = 80°
Also, opposite angles of a parallelogram are equal
∴∠D = ∠B = 80°
∴∠B = ∠D = 80°
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