Question

3.
If the angles of triangle are in the ratio 2:3:5 then find the angles
the commilie 20h
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Answer 1

Given:

A triangle with

• Ratio of angles = 2:3:5

What To Find:

We have to find the angles of the triangle.

Property Needed:

Sum of interior angles of triangle = 180°

Solution:

Using the property,

⇒ Sum of interior angles of triangle = 180°

Substitute the values,

⇒ 2x + 3x + 5x = 180°

Add the LHS,

⇒ 10x = 180°

Take 10 to RHS,

⇒ x = 180/10

Cancel the zeros,

⇒ x = 18/1

Divide 18 by 1,

⇒ x = 18

Substitute the values,

• 2x = 2 × 18 = 36°
• 3x = 3 × 18 = 54°
• 5x = 5 × 18 = 90°

Final Answer:

The angles of the triangle are 36°, 54°, and 90°.

Answer 2

Given :

• Shape = Triangle
• Ratio of angles = 2:3:5

To Find :

• Measure of all the angles.

Solution :

✰ As we know that, Sum of all the angles of a triangle equals to 180° (angle sum property of triangle) . Now in this question, it is given that ratio of its angles are 2:3:5, So let's assume the first, second and third angle be 2p , 3p and 5p respectively.

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According to the Question :

⠀⠀⟼⠀⠀Angle Sum Property = 180°

⠀⠀⟼⠀⠀2p + 3p + 5p = 180°

⠀⠀⟼⠀⠀5p + 5p = 180°

⠀⠀⟼⠀⠀10p = 180°

⠀⠀⟼⠀⠀p = 180/10

⠀⠀⟼⠀⠀p = 18

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Therefore :

➣ First Angle = 2p

➣ First Angle = 2 × 18

➣ First Angle = 36°

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➣ Second Angle = 3p

➣ Second Angle = 3 × 18

➣ Second Angle = 54°

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➣ Third Angle = 5p

➣ Third Angle = 5 × 18

➣ Third Angle = 90°

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Thus Angles of the Triangle are 36° , 54° and 90°

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