Question

In the given figure, O is the mid-point of AC and BD, then

Angle A= Angle B
Angle A = Angle D
Angle B= Angle D
Angle D = Angle C

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Answer 1

Answer:

O is mid point of AC and BD

hence AO = CO

and BO = DO

and angle DOC = angle BOA

thus triangle DOC similar to triangle BOA (by SAS)

angle B = angle D (corresponding angles of similar triangle)