In the given figure, ∠ACP = 40° and ∠BPD = 120°, then find ∠CBD .
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Answer:
BPD = ∠ACP = 40° [angle in same segment]
Now, in △BPD, we have
∠PBD + ∠BPD + ∠BDP = 180°
⇒ ∠PBD + 120° + 40° = 180°
⇒ ∠PBD = 180° - 160° = 20°
or ∠CBD = 20
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