Question

In an isosceles triangle if vertex is tqice the sum of base angles . then measure of vertex?
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Answer 1

Answer:

Step-by-step explanation:

Let each base angle be x in an isosceles △ABC

Then vertex angle be 2(x+x)=4x

Since sum of angles of a triangle is 180  

o

 .

Hence 4x+x+x=180  

o

 

⇒6x=180  

0

 

⇒x=30  

0

 

∴ Angles are 30  

o

,30  

o

,120  

o

 

Since the sum of the interior angles of any triangle adds up to 180∘ and also the base angles of an isosceles triangle are equal,we may let the base angles be x , then the vertex angle is 2x . ∴x+x+2x=180∘