pl solve the question 9(c)
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Answered by
1
Step-by-step explanation:
1.15 degree
2. 30 degree
3.140 degree
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Answered by
0
Answer:
- (i) 20°
- (ii) 60°
- (iii) 110°
Step-by-step explanation:
(i) Since O is the centre of the circle and OA and OB are its radius, ∠OAB = ∠OBA
⇒ In ΔOAB,
∠OAB + ∠OBA + ∠AOB = 180°
∠OAB + ∠OAB + 140° = 180° [∵ ∠OAB = ∠OBA]
2∠OAB = 40°
∴ ∠OAB = 20°
∴ ∠ABC = 20°
(ii) ∠BCA = ¹/₂ × reflex∠AOB
⇒ ∠BCA = ¹/₂ × [360° - 140°]
⇒ ∠BCA = ¹/₂ × 220°
⇒ ∠BCA = 110°
⇒ ∴ ∠CBO = 360° - [140° + 50° + 110°]
⇒ ∴ ∠CBO = 360° - 300°
⇒ ∴ ∠CBO = 60°
(iii) ∠BCA = 110° [From (ii)]
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