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Prove that the sun of all …

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Prove that the sun of all angle of a triangle is 180° ?

Posted by Ravi Vishwakarma 8 years, 7 months ago

CBSE > Class 09 > Mathematics

2 answers

Naveen Sharma 8 years, 7 months ago

Given : A triangle ABC
To Prove : The sum of all angles is 180^o
Construction :Draw line a through points A and B. Draw line b through point C and parallel to line a.

Proof : Since lines a and b are parallel,
{tex}\angle BAC = \angle B'CA \\ and \ \angle ABC = \angle BCA'{/tex}
{tex}\angle B'CA + \angle ACB + \angle BCA' = 180 ^o {/tex}{tex}[angles \ on \ a \ line ]{/tex}
{tex}Thus\ \angle ABC + \angle BCA + \angle CAB = 180^o{/tex}

Hence proved

0Thank You

Swetlana Singh 8 years, 7 months ago

By angle sum property ( A.S.P.)

1Thank You

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CBSE > Class 09 > Mathematics