Corresponding Parts of Congruent Triangle Are Equal
In the figure...
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, △ABD≅△CDB
by RHS criterion for congruency of triangles.