prove that the sum of three angles of triangle is equals to 180
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prove that the sum of three angles of triangle is equals to 180
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[tex]{ \huge\fbox \pink {A}\fbox \blue {n} \fbox \purple {s} \fbox \green{w} \fbox \red {e} \fbox \orange {r}}[/tex]
To prove :
∠A+∠B+∠C=180°
⟹∠1+∠2+∠3=180°
Construction :
Through A, draw a line l parallel to BC.
Proof :
Since l∥BC.
Therefore,
∠2+∠3=∠4+∠5
∠1+∠2+∠3=∠1+∠4+∠5
∠1+∠2+∠3=180°
Thus, the sum of three angles of a triangle is 180°.