Question

The angels of a triangle are in the ratio 1:3:5,find the angels of the triangles ​

Answer 1

Answer:

• Angle of triangle are 20°, 60° and 100°.

Step-by-step explanation:

Given:

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

To Find:

• Angles of triangle.

As we now that,

=> Sum of all angles of triangle = 180°

Let the angles of triangle be 'x', '3x' and '5x'.

Now, according to question

=> Sum of angle of triangle = 180°

=> x + 3x + 5x = 180

=> 9x = 180

=> x = 180/9

=> x = 20

Hence, Angle of triangle are:

• x = 20°
• 3x = 3 × 20 = 60°
• 5x = 5 × 20 = 100°

Verification:

We know that,

=> Sum of angle of triangle = 180°

=> 20 + 60 + 100 = 180

=> 180 = 180

Hence Proved!!

Answer 2

AnswEr:-

The angles of triangle are 20° ,60° & 100° respectively.

$\rule{200}{1}$

Question:-

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

Given:-

• Ratio of angles = 1 : 3 : 5

To find:-

• Angles of triangle = ?

Solution:-

Let the angles of triangle be a, 3a & 5a.[As ratio is 1 : 3 : 5 ]

We know,

☛ Sum of angles of triangle = 180°

According to question:-

⇒ a + 3a + 5a = 180°

⇒ 9a = 180°

⇒ a = 180°/9

⇒ a = 20°

⋆ ANGLES OF TRIANGLE:-

↠ First angle = a = 20°

↠ Second angle = 3a = 3(20) = 60°

↠ Third angle = 5a = 5(20) = 100°

Therefore,

Angles of triangle are 20° , 60° & 100° respectively.