Question

pl solve the question 9(c)​

Answer 1

Step-by-step explanation:

1.15 degree

2. 30 degree

3.140 degree

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Answer 2

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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