Question 139
ABC is an equilateral triangle and 0 is its circumcentre, then the ∠AOC is
Solution
$$\triangle{ABC}$$ is an equilateral triangle,
$$\angle{OAC}=\frac{\angle{BAC}}{2}$$ (In equilateral triangle medians and angle bisectors are same)
$$=30$$
Similarly,
$$\angle{OCA}=30$$
In $$\triangle{OAC}$$,
$$\angle{AOC}+\angle{OAC}+\angle{OCA}=180$$
$$\angle{AOC}+30+30=180$$
$$\angle{AOC}=120$$
Hence,Option C is correct.
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
