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Question

In the figure given below, BCD=60,
then the measure of BDA is.

A
40
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B
60
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C
30
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Solution

The correct option is C 30
In triangles, ABD and CDB,
DA = BC (given)
BD = DB (common side)
ABD=CDB=90
Hence,
ABDCDB
by RHS criterion for congruency of triangles.

So,
DAB = BCD=60

Sum of all the angles of a triangle is
180

BDA=180ABD+DAB
BDA=180(90+60)
BDA=180150
BDA=30

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