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Question

In the figure given below, BCD=60. Enter the measure of BDA in degrees?
  1. 30

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Solution

The correct option is A 30
In ABD and CDB,
DA = BC (given)
BD = DB (common side)
ABD=CDB=90

Hence, ABDCDB
(by RHS criteria for congruence of triangles)

So, DAB=BCD=60

By ange sum property of triangle,
BDA+ABD+DAB=180
BDA=180ABD+DAB
BDA=180(90+60)
BDA=180150
BDA=30

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