Mathematics
In the given figure, find the value of x.
Lines & Angles
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Answer
From the figure,
∠COB = 100°, ∠BOA = x°, ∠AOD = 150°, ∠DOC = 30°
At point O, all angles around a point add up to 360°
∴ ∠COB + ∠BOA + ∠AOD + ∠DOC = 360°
⇒ 100° + x° + 150° + 30° = 360°
⇒ 280° + x° = 360°
⇒ x° = 360° - 280°
⇒ x° = 80°
The value of x° is 80°.
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