Q. 275.0( 5 Votes )

# <span lang="EN-US

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 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