In the given figure, O is the centre and ∠ACB = 40°, then ∠AOB =

F1 Ashish.K 22-05-2020 Savita D2

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REET 2015 Level 2 (Maths & Science) (Hindi-I - English-II/Sanskrit-II) Official Paper
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  1. 30°
  2. 40°
  3. 60°
  4. 80°

Answer (Detailed Solution Below)

Option 4 : 80°
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Detailed Solution

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Given:

∠ACB = 40°

Concept used:

The angle subtended by an arc of a circle at the centre is double the angle subtended by it on any other point on the remaining part of the circle.

Calculation:

As we know,

∠AOB = 2 × ∠ACB     

⇒ ∠AOB = 2 × 40 = 80°

∴ The measure of ∠AOB is 80°

Confusion Points90° + ∠A/2 formula is used in case of triangle 

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