Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
102 views
in Circles by (36.7k points)
closed by

In the given figure, arc AB = arc CD and if ∠AOB = 40°, then ∠COD =

A) 80° 

B) 40°

C) 140° 

D) 90°

2 Answers

+1 vote
by (57.0k points)
selected by
 
Best answer

 Correct option is (B) 40°

\(\because\) arc AB \(\cong\) arc CD

Since, congruent (equal) arcs subtends equal angle the centre of the circle.

Also, \(\angle AOB\) = Angle subtended by arc AB at centre O

\(\angle COD\) = Angle subtended by arc CD at centre O

\(\therefore\) \(\angle AOB\) = \(\angle COD\)    \((\because arc\,AB\cong arc\,CD)\)

\(\Rightarrow\) \(\angle COD\) = \(\angle AOB\) \(=40^\circ\)   \((\because\angle AOB=40^\circ(given))\)

+1 vote
by (38.9k points)

Correct option is  B) 40°

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.

Categories

...