Advertisement Remove all ads

In the given 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. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

In the given 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.

Advertisement Remove all ads

Solution

It can be observed that

∠AOC = ∠AOB + ∠BOC

         = 60° + 30°

         = 90°

We know that angle subtended by an arc at the centre is double the angle subtended by it any point on the remaining part of the circle.

`angleADC=1/2angleAOC=1/2xx90^@ = 45^@`

 

Concept: Cyclic Quadrilateral
  Is there an error in this question or solution?

APPEARS IN

NCERT Class 9 Maths
Chapter 10 Circles
Exercise 10.5 | Q 1 | Page 184

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×