# If the side BC

Given that,

BC produced on both sides

We know that,

A + ABC + ACB = 180o (i)

ABD = A + ACB (Exterior angle theorem) (ii)

ACE = A + ABC (Exterior angle theorem) (iii)

Adding (ii) and (iii), we get

ABD + ACE = A + (A + ACB + ACB)

ABD + ACE = A + 180o

(ABD + ACE) - A = 180o

Thus, between the sum of the exterior angles so formed and A is 180o.

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 :

Prove that the anRS Aggarwal & V Aggarwal - Mathematics

If the sides of aRD Sharma - Mathematics

D is any point onNCERT Mathematics Exemplar

In a triangle RD Sharma - Mathematics

In Δ ABCRD Sharma - Mathematics

In Δ PQRRD Sharma - Mathematics

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

Prove that the peRD Sharma - Mathematics

In Fig. 10.25, <iRD Sharma - Mathematics

In a <span lang="RD Sharma - Mathematics