Question

The value of the angles of a triangle is in
the ratio 2: 7: 11. What will be the
measure of the angles?​

Answer 1

Answer:

Let one side of triangle=2x cm

and second side of triangle=7x cm

and third side of triangle=11x cm

We know that sum of triangle is 180°

So,2x+7x+11x=180°

20x=180°

x=180/20

x=9cm

So,one side of triangle=2x→2×9=18cm

second side of triangle=7x→7×9=63cm

third side of triangle=11x→11×9=99cm

Hope it helps

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Answer 2

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Concept Used:

→ Sum of all angles in a triangle is 180°

According to the question,

2x + 7x + 11x = 180°

⇒ 9x + 11x = 180°

⇒ 20x = 180°

⇒ x = 180 ÷ 20

∴ x = 9

Now let's find the angles.

• 2x = 2(9) = 18°

• 7x = 7(9) = 63°

• 11x = 11(9) = 99°

∴ Measure of angles ⟶ 18°, 63° and 99°

Verification:

When we add all angles, then the sum should be 180°

Here,

18° + 63° + 99° = 180°

⇒ 180° = 180°

LHS = RHS

★ Hence verified ★