Question

In the given figure ∠ABC=69
, ∠ACB=31 ,Find ∠BDC.
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Answer 1

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Answer 2

ANSWER

In △ABC

∠BAC+∠ABC+∠ACB=180o (Angle sum property)

∠BAC+69o+31o=180o

∠BAC=180o−100o=80o

For segment BADCB,

VBDC and ∠BAC are angles in the same segment. So, they must be equal

∴ ∠BDC=∠BAC (Angles in the same segment are equal)

∠BDC=80o