Answer :

If one side of a cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle.


Chord AB of a circle is produced to E.


ext. BDE = BAC = EAC ___________________ (i)


Chord CD of a circle is produced to E.


ext. DBE = ACD = ACE ____________________ (ii)


In ΔEDB and ΔEAC,


BDE = CAE [From equation (i)]


DBE = ACE [From equation (ii)]


E = E [Common angle]


ΔEDB ΔEAC Proved.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

PQ and RQ are theRS Aggarwal & V Aggarwal - Mathematics

In a circle of raRD Sharma - Mathematics

Two equal circlesRD Sharma - Mathematics

Angle formed in mRD Sharma - Mathematics

If AB is aRD Sharma - Mathematics

The greatest chorRD Sharma - Mathematics

If two diameters RD Sharma - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics