Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 60
Ina circle with centre O, an are ABC subtends an angle of $$110^\circ$$ at the centre of the circle. The chord AB is produced to a point P. Then $$\angle$$CBP is equal to:
Solution
Take any point D on the circumference and join AD and DC .
∴ $$\angle$$AOC = 2 × $$\angle$$ADC
⇒ $$\angle$$ADC = 1/2 × $$\angle$$AOC = 1/2 × 110 = 55$$^\circ$$
Now, $$\angle$$PBC = ∠ADC [exterior angle of cyclic quadrilateral]
⇒ $$\angle$$PBC = 55$$^\circ$$
SO , the answer would be option b)55$$^\circ$$.
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
