Question

the smallest angle of a triangle is 1/6 of the largest angle and the other angle is twice the smallest angle find the largest angle of the triangle​

Answer 1

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here is ur answer

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Answer 2

Given:

• The smallest angle of triangle = 1/6

To Find:

• The value of the largest angle of the triangle.

Solution:

The largest angle = x

The smallest angle = 6x

The other angle = 2x

The above values are given in the question.

Now using the sum of triangle rule we get,

⇒ x+6x+2x = 180 {adding the terms on RHS}

⇒ 9x = 180

⇒ x = 180/9 {dividing the terms}

⇒ x = 20

Now we get the largest angle as,

The largest angle = 6*20 = 120 {multiplying the terms}

∴ The value of the largest angle of the triangle = 120.