Math, asked by ankitchand, 10 months ago

if the base of an isosceles triangle is produced on both sides, prove that the exterior
angles so formed are equal to each other.​

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Answered by goyalkomal2211
1

Answer:

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The Triangle and Its Properties

Isosceles and Equilateral Triangles

If the base of an isosceles...

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Asked on January 17, 2020 by

Sulekh Sai

If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.

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ANSWER

Let ABC be an isosceles triangle with base BC and equal sides AB and AC.

Then, ∠ABC=∠ACB i.e., ∠B=∠C.

Now,

∠ADB+∠ABC=180

and ∠ACB+∠ACE=180

⇒∠ADB=180

−∠B and ∠ACE=180

−∠C

⇒∠ADB=180

−∠B and ∠ACE=180

−∠B

⇒∠ADB=∠ACE

Answered by mathsguru98
6

Answer:

hence proved

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