what is angle sum property write down with proof
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The sum of the angles of a triangle is 180°.
proof:- 1+2+3 = 180°
given:- A ∆PQR and 1, 2 and 3 are the angles of a ∆PQR.
Solve:- Let us draw a line XPY parallel to QR through the opposite vertex P.
Now, XPY is a line.
Therefore, 4+1+5 = 180°. - (1)
But XPY//QR and PQ, PR are transversals.
So,. 4= 2 and 5=3 (pairs of alternate angles)
Substituting 4 and 5 in (1), we get
2+1+3 = 180°
Thus, 1+2+3 = 180°
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singhalneetu393:
thanks
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