0 votes
in Circles by (44.6k points)
closed by

In the given figure, ‘O’ is the centre of the circle and AB, CD are equal chords. If ∠AOB = 70°. Find the angles of ΔOCD.

1 Answer

+1 vote
by (45.2k points)
selected by
Best answer

‘O’ is the centre of the circle. 

AB, CD are equal chords 

⇒ They subtend equal angles at the centre. 

∴ ∠AOB =∠COD = 70° 

Now in ΔOCD 

∠OCD = ∠ODC [∵ OC = OD; radii angles opp. to equal sides] 

∴ ∠OCD + ∠ODC + 70° = 180° 

= ∠OCD +∠ODC = 180° – 70° = 110° 

∴ ∠OCD + ∠ODC = 110° = 55°

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.