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Step by step explanation
ABCD is the trapezium
Construction - join. AC
Proof
In triangle ABD and triangle BDC
AD=BC. ( Given )
AC=AC. ( common side )
Angle ABD = Angle BDC. ( since AB is parallel to DC alternate angles are equal )
=triangle ABD is congruent to triangle BDC
Therefore Angle A = Angle B. ( corresponding parts of congruent triangles)
Hope it helps you
Mark as brainliest and thank me....................
Step by step explanation
ABCD is the trapezium
Construction - join. AC
Proof
In triangle ABD and triangle BDC
AD=BC. ( Given )
AC=AC. ( common side )
Angle ABD = Angle BDC. ( since AB is parallel to DC alternate angles are equal )
=triangle ABD is congruent to triangle BDC
Therefore Angle A = Angle B. ( corresponding parts of congruent triangles)
Hope it helps you
Mark as brainliest and thank me....................
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