Question

In a parallelogram ABCD whose vertices are taken in order, if ∠A=40°∠A=40° , then ∠D=
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Answer 1

ABCD is a parallelogram

Given ∠DAB=∠BCD=40

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and AD∥BC

We know that sum of consecutive angle are 180

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∠CBA+∠DAB=180

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∴∠CBA=180−40=140

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We know that in parallelogram opposite angles are equal

Then ∠ADC=∠CBA=140

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So angles of parallelogram are 40

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,140

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,40

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,140

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Answer 2

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