Math, asked by kaajuu418, 1 year ago

Prove area of a triangle is 180degree

Answers

Answered by Shobana13
2
Given:-
△ABC with ∠1 , ∠2 & ∠3

To Prove:-
∠1 + ∠2 + ∠3 = 180°

Construction:-
Draw XY parallel to BC

Proof:-

XAY is a line

∠1 + ∠4 + ∠5 = 180° [Straight line] > (1)

XY || BC

∴ ∠2 = ∠4 [A.I.A] > (2)
∠3 = ∠5 [A.I.A] > (2)

Using (1) & (2)

∠1 + ∠2 + ∠3 = 180°

Hope my answer helps you :)

Regards,
Shobana
^_^
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