Question

If the side of BC of ∆ABC is produced on both sides,then write the difference between the sum of the exterior angles so formed and angle A​

Answer 1

Hey User,

Here is your answer,

Step:1 Make a Rough Sketch From given.

Now,

<ABC+<ABD=180°......1

Or,

<ACB+<ACE=180°...........2

Now, Adding equation 1 and 2

<ABC+<ABD+<ACB+<ACE=180+180=360...3

Now,

<A+<ABC+<ACB=180°

<ABC+<ACB=180°-<A.....4

Now,

Put eq. 4 in eq.3

So,

<ABD+<ACE+180°-<A=360

<ABD+<ACE-<A=360°-180°=180°.

So,

The difference between the Sum of the exterior angle so formed and<A is 180°.

Thank You!

Answer 2

Answer:

The answer is explained in the picture