Question

a triangle one angle is one third of the greatest angle and another angle is two-fifth of greatest angle calculate the angles​

Answer 1

Answer :-

All the angles are as follows :-

1. 34.61(approx)
2. 103.85(approx)
3. 41.54(approx)

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Given :-

• A Triangle whose angles are as follows :-

• One angle is one third of the greatest angle.

• Another angle is two fifth of the greatest angle.

• The greatest angle.

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Equation :-

Let the Greatest angle be X.

$\cfrac{1}{3} \: x + \cfrac{2}{5} \: x + x = 180$

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To Find :-

• All the angles of a Triangle.

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Step By Step Solution :-

As we know,

☆ Sum of all the angles of a Triangle = 180°

So First we will calculate the value of X

$= > \cfrac{1}{3} x + \cfrac{2}{5} \: x + x = 180 \\ \\ = > \cfrac{1x \times 5 + 2 x\times 3 + x \times 15}{15} = 180 \\ \\ = > \cfrac{5x + 6x + 15x}{15} = 180 \\ \\ = > \cfrac{26x}{15} = 180 \\ \\ = > x = \cfrac{180 \times 15}{26} \\ \\ = > x = 103.85 \: (approx)$

Now the Angles of a Triangle are as follows

$\cfrac{x}{3} = \cfrac{103.85}{3} = 34.61(approx)\\ \\ x = 103.85(approx) \\ \\ \cfrac{2}{5} x = \cfrac{2 \times 103.85}{5} = 41.54(approx)$

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Extra Information :-

A triangle is a simple closed figure bounded by Three lines segments. It has Three angles , Three line segment and Three vertices.

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