Question

The Three angles of a triangle are in the ratio 4:5:6.Find the difference between the smallest and largest angles *
36°
24°
56°
64°. The Three angles of a triangle are in the ratio 4:5:6.Find the difference between the smallest and largest angles *
36°
24°
56°
64°​

Answer 1

Answer:

36 is the answer of questions

Answer 2

Correct Question :

The Three angles of a triangle are in the ratio 4:5:6.Find the difference between the smallest and largest angles *

1) 36°

2) 24°

3) 56°

4) 64°

Given :

⬤ Three angles of a triangle are in the ratio 4:5:6 .

To Find :

⬤ Difference between the smallest and the largest angles .

Solution :

Let :

• The three angles of a triangle be = 4x , 5x and 6x .

As we know that , Sum of all angles of a triangle is 180°. Hence ,

$\sf{4x+5x+6x=180^{\circ}}$

15x = 180°

x = 180/15

x = 12

Hence , The Value of x is 12.

Now :

Angle 1 = 4x

= 4(12)

= 48°

Angle 2 = 5x

= 5(12)

= 60°

Angle 3 = 6x

= 6(12)

= 72°

So ,

Difference between Smallest and largest angle :

72° - 48°

24°

Therefore , Option 2nd is Correct .