Question

If the angles of a triangle are in the ratio 2 : 7 : 11, then find the angles.

Answer 1

$\huge\mathfrak\blue{Answer:-}$

We know that sum of three angles is 180°

Thus let the ratio be 2x , 7x , 11x

Now 11x+7x+2x = 180

20x = 180

x = 9

Thus angles are :-

• 2x = 2×9= 18°
• 2x = 2×9= 18°11x=11×9=99°
• 2x = 2×9= 18°11x=11×9=99°7x=7×9=63°

Answer 2

Let the angles be 2x,7x and 11x.

Sum of all angles of a triangle = 180

2x + 7x + 11x = 180

20x = 180

$x = \frac{180}{20}$

$x = 9$

therefore the angles are = 2x = 18, 7x = 63 and 11x = 99