A trapezium has its non parallel sides congruent, then its opposite angles are

congruent

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supplementary

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complementary

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None of these

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Solution

The correct option is A congruent
Given AB = CD
Draw perpendiculars from A and C on BC
In triangles ABE and EDF,
AB = CD
$∠ A E B = ∠ C F D = 90$
AE = CF (perpendiculars)
Hence, both the triangle are congruent.
Thus, $∠ A B D = ∠ D C A$

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A trapezium has its non parallel sides congruent, then its opposite angles are

The correct option is A congruentGiven AB = CDDraw perpendiculars from A and C on BCIn triangles ABE and EDF,AB = CD∠AEB=∠CFD=90AE = CF (perpendiculars)Hence, both the triangle are congruent.Thus, ∠ABD=∠DCA

The correct option is A congruent
Given AB = CD
Draw perpendiculars from A and C on BC
In triangles ABE and EDF,
AB = CD
$∠ A E B = ∠ C F D = 90$
AE = CF (perpendiculars)
Hence, both the triangle are congruent.
Thus, $∠ A B D = ∠ D C A$