Question

The angle of a triangle are in the ratio 3:5:7.Find the measure of these angle​

Answer 1

Answer:

triangle ratio =3x:5x:7x

3x+5x+7x =180

15x=180

x=180/15

x=12

Answer 2

Solution :-

Here, The angles of triangles are in the ratio 3:5:7 .

Let the ratio be 3x, 5x and 7x

As we know that,

The sum of angles of a triangle are 180° and This property is known as angle sum property.

Therefore,

By using angle sum property,

3x + 5x + 7x = 180°

8x + 7x = 180°

15x = 180°

x = 180°/15

x = 36/3

x = 12

Thus, The value of x is 12

Now,

The first angle is 3x = 3 * 12 = 36°

The second angle 5x = 5 * 12 = 60°

The third angle 7x = 7 * 12 = 84°

Hence, The angles of triangle are

36° , 60° and 84° $.$

Verification :-

36° + 60° + 84° = 180°

96° + 84° = 180°

180° = 180°

LHS = RHS