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Question
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.
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Solution
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = 80°.
Explanation:
In a trapezium, we know that, the angles on either side of the base are supplementary.
So, In trapezium ABCD, given AB || CD
∴ ∠A + ∠D = 180°
⇒ 100° + ∠D = 180°
⇒ ∠D = 180° – 100°
∴ ∠D = 80°
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