Question

in an isosceles trangle the base angle are equal and the vertex angle is twice of each base angle. find the measure of the angle of the trangle

Answer 1

Let each base angle be x. Then, the vertex angle will be 2x.
Now, by using Angle Sum Property of a Triangle,
<A + <B + <C = 180°
x + x + 2x = 180°
4x =180°
x =180°÷4
x=45°

Now, x= 45° and 2x=90°.
So, each base angle is 45° and the vertex angle is 90°.

Answer 2

See the attach file for ur ans