SSC CGL 2020 PYQ — Question 58

The correct answer is option 1 i.e 60^o

In the diagram given that,

⇒ ∠AOD = 100^o

The sum of all angles subtended on a line is 180^o

⇒ ∠AOD + ∠BOD = 180^o

⇒ ∠BOD = 80^o

In the triangle, OCD the sum of angles is 180^o where angles ∠OCD & ∠ODC are equal, let call them 'x'

⇒ ∠ODC + ∠OCD + ∠COD = 180^o

⇒ 2x = 30^o

⇒ x = 15^o

In the triangle, OCP the sum of angles,

⇒ ∠OCP + ∠OPC + ∠POC = 180^o

⇒ 15^o + ∠OPC + 70^o = 180^o

⇒ ∠OPC = 95^o = ∠APC