The angles of a triangle are in the ratio of $3 : 5 : 7.$ What is the measure of the largest interior angle of the triangle?

18^{o}

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48^{o}

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84^{o}

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96^{o}

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Solution

The correct option is C $84^{o}$
By angle sum property, the sum of angles is $180^{o}$ .
Let $3 x, 5 x$ and $7 x$ be the three angles of the triangle.
So,
$3 x + 5 x + 7 x = 180^{o}$
$15 x = 180^{o}$
$x = 12^{o}$

Hence, Largest interior angle $= 7 \times 12^{o} = 84^{o}$

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The angles of a triangle are in the ratio of 3:5:7. What is the measure of the largest interior angle of the triangle?

The correct option is C 84oBy angle sum property, the sum of angles is 180o.Let 3x,5x and 7x be the three angles of the triangle.So,3x+5x+7x=180o15x=180ox=12oHence, Largest interior angle =7×12o=84o

The angles of a triangle are in the ratio of $3 : 5 : 7.$ What is the measure of the largest interior angle of the triangle?

The correct option is C $84^{o}$
By angle sum property, the sum of angles is $180^{o}$ .
Let $3 x, 5 x$ and $7 x$ be the three angles of the triangle.
So,
$3 x + 5 x + 7 x = 180^{o}$
$15 x = 180^{o}$
$x = 12^{o}$

Hence, Largest interior angle $= 7 \times 12^{o} = 84^{o}$