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notka56 [123]
3 years ago
14

(09.01 MC)

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

Answer: 63°

<u>Step-by-step explanation:</u>

Since BD is the diameter, then arc BCD = 180°

Given that arc BC = 54°, then arc CD = 180° - 54° = 126°

∠DBC is an intercepted angle -> DBC = half of arc CD

\angle DBC=\bigg(\dfrac{1}{2}\bigg)126^o\quad =\large\boxed{63^o}

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