If two angles of a triangle are 30- and 120- then the triangle is a-an

The correct option is D isosceles triangle Let the third angle be 'x' 30^∘+120^∘+x=180 nbsp; (Angle sum property of a triangle) nbsp;⇒ x=180^∘ 150^∘ ⇒ x=30^∘ ...

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Standard VI

Mathematics

Angle Sum Property of Triangle

If two angles...

Question

If two angles of a triangle are $30^{\circ}$ and $120^{\circ}$ , then the triangle is a/an _____.

right angled triangle

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scalene triangle

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equilateral triangle

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isosceles triangle

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Solution

The correct option is D
isosceles triangle

Let the third angle be 'x'
$30^{\circ} + 120^{\circ} + x = 180$ (Angle sum property of a triangle)
$\Rightarrow x = 180^{\circ} - 150^{\circ} \Rightarrow x = 30^{\circ}$
Here, two angles are equal, therefore it is an isosceles triangle.

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If two angles of a triangle are 30∘ and 120∘, then the triangle is a/an _____.

The correct option is D isosceles triangle Let the third angle be 'x' 30∘+120∘+x=180 (Angle sum property of a triangle) ⇒x=180∘−150∘⇒x=30∘ Here, two angles are equal, therefore it is an isosceles triangle.

If two angles of a triangle are $30^{\circ}$ and $120^{\circ}$ , then the triangle is a/an _____.

The correct option is D
isosceles triangle

Let the third angle be 'x'
$30^{\circ} + 120^{\circ} + x = 180$ (Angle sum property of a triangle)
$\Rightarrow x = 180^{\circ} - 150^{\circ} \Rightarrow x = 30^{\circ}$
Here, two angles are equal, therefore it is an isosceles triangle.