Question

An exterior angle of a triangle is 100 degree.and it's interior opposite angles are equal to each other.Find the measure of each angle of the triangle.

Answer 1

here is the answer
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Answer 2

Let the triangle be ABC and extend BC to D.And the interior angle be (x).
Then,
ang. (ABD) = 100 (given)
and, ang. (B) = ang. (C) (given)
=》 (x)
so, by ext. angle property
ang. (B) + ang. (C) = ext. angle
=》 x+x =100
=》2x =100
=》 x = 50°

Now, we know that
ang. (A+B+C) = 180°
so, angle(A) = 180° - ( 50°+50°)
=》 ang.(A) = 80°