Question

In an isosceles triangle, the verterx
angle is twice the each base-angle. Find
the vertes angle.​

Answer 1

An isosceles triangle has two sides of equal length. Likewise, the opposite angles of the sides are the same

So lets assume each angle be

x

and the bigger angle be

2

x

(since it is twice the base angle)

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Now, we know that sum of the angles in a triangle is 180 degree

So,

→

2

x

+

x

+

x

=

180

∘

→

4

x

=

180

∘

→

x

=

180

4

⇒

x

=

45

∘

Now the other angle is

2

x

which is

45

×

2

=

90

∘

Hope this helps!!! ☺☻ have a good day...

Hope this helps!!! ☺☻ have a good day...If u like this ans. then plzz add meas a brain list