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Q.

The angle of an isosceles triangle if the vertex angle = 120 ° is ____ ∘ is ____ .


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Detailed Solution

The angle of an isosceles triangle if the vertex angle = 120 ° is 30 ∘ .
Given the vertex angle of a isosceles triangle is 120 ° .
The angles opposite to equal sides of a triangle are equal.
Assume the base angle to be x .
Using angle sum property,
120 ° +x+x= 180 ° 120 ° +2x= 180 ° 2x= 180 ° − 120 ° 2x= 60 ° x= 30 °
Therefore, each base angle is 30 ° .
 
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