Mathematics
In the given figure, if ∠ACD = 30° and ∠BPD = 100°, then ∠CDB is equal to :
30°
40°
50°
60°
Circles
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Answer
∠ABD = ∠ACD = 30° [Angles in the same segment]
From figure,
∠PBD = ∠ABD = 30°
In ΔPBD,
By angle sum property,
∠PBD + ∠BPD + ∠PDB = 180°
30° + 100° + ∠PDB = 180°
∠PDB = 180° - 130°
∠PDB = 50°.
From figure,
∠CDB = ∠PDB = 50°.
Hence, option 3 is the correct option.
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