If the angles of a triangle are x - 2 x - and 3 x- then find the value of x-A- 15-B- 30-C- 45-D- 60-

The correct option is B 30^∘Given : The angles of a triangle are x^∘, 2x^∘ and 3x^∘. To find: The value of x. We know that sum of all the interior angles ...

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Byju's Answer

Standard VIII

Mathematics

Parameters of Triangles (Sides and Angles)

If the angles...

Question

$If the angles of a triangle are x^{\circ}, 2 x^{\circ} and 3 x^{\circ}, then find the value of x .$

15^{\circ}

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30^{\circ}

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45^{\circ}

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60^{\circ}

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Solution

The correct option is B $30^{\circ}$
$Given : The angles of a triangle are x^{\circ}, 2 x^{\circ} and 3 x^{\circ} .$

$To find: The value of x .$

$We know that sum of all the interior angles of a triangle is 180^{\circ} .$

$So, x + 2 x + 3 x = 180^{\circ} \Rightarrow 6 x = 180^{\circ} \Rightarrow x = \frac{180^{\circ}}{6} \Rightarrow x = 30^{\circ}$

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If the angles of a triangle are x∘,2x∘ and 3x∘,then find the value of x.

The correct option is B 30∘Given : The angles of a triangleare x∘,2x∘ and 3x∘. To find: The value of x. We know that sum of all the interior anglesof a triangle is 180∘.​ So, x+2x+3x=180∘⇒6x=180∘⇒x=180∘6⇒x=30∘

$If the angles of a triangle are x^{\circ}, 2 x^{\circ} and 3 x^{\circ}, then find the value of x .$