Question

the angles of a triangle are in the ratio 1 ratio 3 ratio 5 find the measure of each one of the angle​

Answer 1

Answer:

The angles would be 20 , 60 and 100.

Step-by-step explanation:

According to angle sum property:

The sum of all the angles of a triangle is 180 degrees.

The angles are in the ratio of 1 is to 3 is to 5.

5 + 3 + 1 is 9.

So let 9x equals to 180.

x= 180\9 = 20

So :

Angle 1 = 5x = 5*20 = 100

Angle 2 = 3x = 3*20 = 60

Angle 3 = 1x = 1*20 = 20

Check => 100 + 60 + 30 = 180

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Answer 2

$\geen{\huge{\underline{\sf{Given:-}}}}$

The angles of a triangle are in ratio 1:3:5

$\geen{\huge{\underline{\sf{To\:\:be\:\:found:-}}}}$

The three angles of the triangle.

We know that,

Angle sum property of triangle -

$\boxed{\bf sum\:\:of\:\:3\:\:angles\:\:of\:\;triangle = 180^{o}}$

Let angles be,

1x, 3x and 5x

So,

$\red{\sf \rightarrow 1x+3x+5x = 180}$

$\red{\sf \rightarrow 9x = 180}$

$\red{\sf \rightarrow x = \frac{180}{9}}$

$\red{\sf \rightarrow x = 20}$

∵ The value of x = 20

The angles of the triangle are :

1x = 1 × 20 = 20°

3x = 3 × 20 = 60°

5x = 5 × 20 = 100°

Hence,

Required angles are 20°, 60°, 100°.