Question

(iv) In an isosceles 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 triangle is 180
degrees).
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Answer 1

Answer:

90 degree

Explanation:

Since the sum of the interior angles of any triangle adds up to  180 degrees

and also the base angles of an isosceles triangle are equal

let the base angles be  x , then the vertex angle is  2 x  

x  +  x  +  2 x  =  180  

x  =  45  

Therefore the vertex angle is  90 degree i.e 2x

Answer 2

Answer:

90

Explanation:

let the base angles be 'a' and the vetex angle will be 'b'.

in the triangle

a+a+b=180(angle sum property)

2a+2a=180(b=2a)

4a=180

a=45

thereforeb=90