A B C is a triangle inscribed in a circle and \angle A C B is equal to 35^{\circ} . P is a point on the circle on the side A B, opposite to C. What is the value of \angle A P B (in degrees)?

SSC CHSL 10 Aug 2021 Shift 1 Paper

Section: Quantitative Aptitude

Question : 60 of 100

Marks: +1, -0

A B C

is a triangle inscribed in a circle and

∠ A C B

is equal to

35^{∘} . P

is a point on the circle on the side

A B

, opposite to

C

.
What is the value of

∠ A P B

(in degrees)?

Solution:

Given,

Since, it is the condition of cyclic quadrilateral and we know that the sum of opposite angles is

180^{∘}

in a cyclic quadrilateral.

∴ \;\; ∠ A P B=180^{∘}-35^{∘}=145^{∘}

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