Question

In a triangle angle c=3 angle b =2 (angle a+angel b). find three angle . but this question is linear equation two variable cbse 1991 ask questions Delhi board

Answer 1

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Answer 2

Answer :-

Provided

angle c = 3 × angle b
also = 2(angle a + angle b )

Now as we know that sum of all angles in a triangle = 180°

then
angle a + angle b + angle c = 180°

and as c = 2(angle a + angle b )

=> angle a + angle b + 2 angle a + 2 angle b = 180°

=> 3 ( angle a + angle b ) = 180°

or angle a + angle b = 60° ...... (i)

Now it is also provided that angle c = 3 × angle b = 2 angle a + 2 angle b

or 2 angle a = angle b ...... (ii)

from (i)
3 angle a = 60°
or angle a = 20°

therefore from (ii)
angle b = 40°

hence angle c = 3 angle b = 3 × 40
= 120°


So , all angles are
angle a = 20°
angle b = 40°
angle c = 120°

Hope it helps