Question

In a isosoceles triangle, the vertex angle is twice either base angle.(Let the base angle be b in degrees. Remember that the sum of angles of a triangles of 180 degrees)​

Answer 1

Answer:

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∘ .

∴x=45∘ .

Therefore the vertex angle is 90∘.

Answer 2

Answer:

Let the base angle =b

⇒vertex angle =2b

Sum of angles in a triangle =180

°

⇒b+b+2b=180

⇒b=45

°

Angles =(45

°

,45

°

,90

°

)