In the figure, O is the centre of the circle. If  then find the measure of  

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NTPC CBT-I (Held On: 9 Jan 2021 Shift 1)
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  1. 35º
  2. 125º
  3. 55º
  4. 145º

Answer (Detailed Solution Below)

Option 1 : 35º
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RRB NTPC Graduate Level Full Test - 01
100 Qs. 100 Marks 90 Mins

Detailed Solution

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Given:

Concept:

Angle made in a semi-circle is a right angle.

Angles formed in the same segment of a circle will be equal in measure.

Calculation:

BR is formed by joining B and R.

∠ARS + ∠ARP = 180°  [Linear Pair]

⇒ ∠ARP = 180° - 125° = 55° 

∠ARB = 90°    [Angle made in semi-circle] 

⇒ ∠ARP + ∠BRP =  90° 

⇒ ∠BRP = 90° - 55° = 35° 

∠BRP = ∠PAB = 35°  [Angles made in the same segement]

∴ ∠PAB = 35°

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