Question

If the ratio of the angles of a triangle is 7: 3: 5, what is the smallest inter-angle of that triangle?​

Answer 1

Answer:

The smallest interior angle is 3x or 36°.

Step-by-step explanation:

Let their common factor be x.

So, they are now 7x, 3x and 5x.

Since, Sum of all angles of a triangle is 180°.

They will also add upto 180°

7x + 3x + 5x = 180

15x = 180

x = 180/15

x = 12

7x = 7 × 12 = 84°

3x = 3 × 12 = 36°

5x = 5 × 12 = 60°

Answer 2

Answer:

sol:

Let smallest inter angle be x

7x+3x+5x = 180 (angle sum properties

triangles)

15x = 180

x = 180/15

x = 12

therefore,

7x = 7×12 =84

3x = 3× 12= 36

5x = 5× 12= 60

so,

the smallest inter angle of triangle is 36.