Question

Solve it :-

A triangles angles are in ratio 2:3:5. Find their angles.​

Answer 1

Answer:

The angles are 36°, 54° and 90°.

Step-by-step explanation:

Given :

Ratio of Angles = 2 : 3 : 5

To find :

Their angles

Solution :

Let the angles be -

• 2y
• 3y
• 5y

According to the Angle Sum property of triangle, all angles of triangle sum up and make 180°.

⇒ 2y + 3y + 5y = 180

⇒ 10y = 180

⇒ y = 180/10

⇒ y = 18

★ First angle -

⇒ 2(18)

⇒ 36 °

★ Second angle -

⇒ 3(18)

⇒ 54 °

★ Third angle -

⇒ 5(18)

⇒ 90 °

The angles are 36°, 54° and 90°.

Answer 2

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