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
1.2k views
in Mathematics by (30.0k points)

In the figure, A, B and C are three points on a circle with centre O such that ∠ BOC = 30° and ∠ AOB = 60°. If D is a point on the circle other than the arc ABC, find ∠ ADC

1 Answer

0 votes
by (130k points)
selected by
 
Best answer

We have, ∠BOC = 30° and ∠AOB = 60° 

∠AOC = ∠AOB + ∠BOC = 60° + 30° = 90° 

We know that angle subtended by an arc at the centre of a circle is double the angle subtended by the same arc on the remaining part of the circle. 

∴ 2∠ADC = ∠AOC 

⇒ ∠ADC = 1/ 2 ∠AOC = 1/ 2 × 90° 

⇒ ∠ADC = 45° Ans

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

...