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How to prove that the sum of angles of a triangle is 180 degree.

Posted by Kishlay Kumar 5 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Let the triangle's of angle is x, y and z
we have to prove
x + y + z = 180 ..........(i)
we know that sum of two interior opposite angle is equal to exterior angle.
so, x + y = 180 - z ....... (ii)
By linear pair exterior angle is 180 - z when triangle's angle is z.
By (i) also we get
x + y = 180 - z ..........(iii)
Hence proved
(ii) and (iii) are the same, so we can say that the sum of the three angles triangle is 180^o.

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CBSE > Class 10 > Mathematics