In the below figure, ∠ABC = 69°, , ∠ACB = 31°, find , ∠ BDC.
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80 is the correct answer i think soo
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In △ABC
∠BAC+∠ABC+∠ACB=180° (Angle sum property)
- ∠BAC+69° +31° =180°
- ∠BAC=180° −100° =80°
For segment BADCB,
∠BDC and ∠BAC are angles in the same segment. So, they must be equal.
∴ ∠BDC=∠BAC (Angles in the same segment are equal)
∠BDC=80°
[tex][/tex]
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