Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 84
ABCD is a quadrilateral inscribed in a circle with centre O such that O lies inside the quadrilateral. If $$\angle COD = 120$$ degrees and $$\angle BAC = 30$$ degrees, then the value of $$\angle BCD$$ (in degrees) is
Correct Answer: 90
Solution
$$\angle COD = 120$$ => $$\angle CAD = 120/2 = 60$$ (The angle subtended by the chord DC at the major arc is half the angle subtended at the centre of the circle.)
$$\angle BAC = 30$$
$$\angle BAD = \angle BAC + \angle CAD$$ = 30 + 60 = 90.
$$\angle BCD = 180 - \angle BAD$$ = 180 - 90 = 90
Video Solution
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 35+ CAT previous year papers with video solutions PDF
- 5000+ Topic-wise Previous year CAT Solved Questions for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Time Speed Distance QuestionsCAT Functions, Graphs and Statistics QuestionsCAT Linear Equations QuestionsCAT Coordinate Geometry QuestionsCAT Algebra Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Special Charts QuestionsCAT 2D & 3D LR QuestionsCAT Maxima-Minima QuestionsCAT Miscellaneous LR QuestionsCAT Selection With Condition Questions
