Math, asked by ajeethatti, 7 months ago

prove exterior angle property af triangle ​

Answers

Answered by getdurgeshku2002
0

Step-by-step explanation:

तुम्हें मैं 1 दिन के अंदर इस सवाल का जवाब बता दूंगा फुल प्रूफ

Answered by mrkanhachaudhary
0

Statement:-

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

Consider triangle ABC.

∠ACD is an exterior angle.

Through C, draw

CE//BA

To prove:

∠ 1 + ∠2 = ∠ACD

Proof:

∠1 = ∠x (pair of alternate interior angles since, CE||BA)

∠2 = ∠y (pair of corresponding angles)

∠1 + ∠2 =∠x + ∠y

i.e.

∠1 + ∠2 = ∠ACD [∵∠x + ∠y = ∠ACD]

Hence proved.

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