Question

3.The measure of angles of a triangle are in the ratio 5: 3: 2 then measure of the greatest angle is *

Answer 1

Answer:

The required measure of greatest angle is 90°

Step-by-step explanation:

Given :

The measure of angles of a triangle are in the ratio 5 : 3 : 2

To find :

the measure of greatest angle

Solution :

Let the angles of the triangle be

• 5x
• 3x
• 2x

We know, the sum of the measure of three angles in a triangle is equal to 180°

5x + 3x + 2x = 180°

  10x = 180°

    x = 180°/10

    x = 18°

Substituting,

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

Therefore, the measure of greatest angle is 90°

Answer 2

Step-by-step explanation:

Let 5x,6x and 7x be the angles of a triangle.

By angle sum property, sum of all the angles in a triangle=180

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⇒5x+6x+7x=180

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⇒18x=180

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∴x=

18

180

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=10

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5x=5×10

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=50

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6x=6×10

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=60

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7x=7×10

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=70

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∴ the angles 50

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,60

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and 70

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