6. In Fig. 15.182, O is the centre of the circle. Find ZCBD.
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Step-by-step explanation:
By degree measure theorem,
reflex∠AOC=2∠CBA
360°-100°=2∠CBA
260°=2∠CBA
260°÷2=∠CBA
∴∠CBA=130°
AD is a line.
∴∠CBA+∠CBD=180° (Linear pair)
⇒130°+∠CBD=180°
∠CBD=180°-130°=50°
∴∠CBD=50°
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