Question

If the angles of a triangle are in the same ratio as the no. 4,5 and 6,then tge largest Angel measures..

Answer 1

$\huge{\mathcal{Hi\: there!}}$

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Let the angles of triangle be 4x, 5, and 6x respectively.

As we know that, the sum of angles of triangle measures 180°.

A / Q,

∠A + ∠B + ∠C = 180°

⇒ 4x + 5x + 6x = 180°

⇒ 15x = 180

⇒ x = $\mathsf{\frac {180}{15}}$

⇒ x = 12

Now,

∠A = 4x = 4 × 12 = 48°

∠B = 5x = 5 × 12 = 60°

∠C = 6x = 6 × 12 = 72°

Hence, the measure of largest angle is 72°.

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Thanks for the question !

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Answer 2

HEY FRND HERE IS YOUR ANSWER...


let the measure of angles be in x..
like 4x,5x and 6x..
Now, sum of all angles of triangle is 180°
4x+5x+6x=180
15x=180
x=180/15
x=12..
Now put the value of x in ratios
i.e. 4x=4×(12)=48°
5x=6×(12)=60°
6x=6×(16)=72°.....

hence 72° is the largest angle....

hope you understand...
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