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Question

In the given figure, ABCD is a rhombus. Diagonals AC and BD intersect each other at E. 1=50o then BCD=
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A
100o
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B
90o
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C
80o
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D
none of these
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Solution

The correct option is C 80o
ABCD is a rhombus. Diagonals AC and BD intersect each other at E.
Given, 1=50o
BD bisects ABC ( by property of rhombus)
So, ABC=2×50o=100o
ABC+BCD=180o ----(Interior angles on the same side of transversal)
BCD=180oABC=180o100o=80o

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