Why are triangle is 180 degree.
Please give me answer
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Given => ABC
To prove => <A + <B + <C = 180°
Construction => Draw line segment PQ || AB passing through C.
Proof=> AB || PQ with CA and CB transversal
<BAC = <PCA ( A.I.A. )
<ABC = <QCA ( A.I.A. )
In ABC
<PCA + <ACB + <QCA = 180°
<BAC + < ACB + <ABC = 180°
<A + <B + <C = 180°
To prove => <A + <B + <C = 180°
Construction => Draw line segment PQ || AB passing through C.
Proof=> AB || PQ with CA and CB transversal
<BAC = <PCA ( A.I.A. )
<ABC = <QCA ( A.I.A. )
In ABC
<PCA + <ACB + <QCA = 180°
<BAC + < ACB + <ABC = 180°
<A + <B + <C = 180°
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