Question

In the isosceles triangle the Base angles are equal the vertex angle are twice to either the base angle . What are the degree measure of angle of the triangle

Answer 1

let triangle ABC be the required Isosceles triangle with given criteria

here, let

angleB and angleC be base angles

then

angle B = angleC.....................given
let
angleB=angleC=x....................say..............1

then angleA=2*angleB................given

therefore

angle A=2x..............2


In triangle ABC

angleA+angleB+angleC=180degrees.............angle sum property
of triangle


angle A+x+x=180....................from 1

2x+2x=180..............................from 2

4x=180

x=180/4

x=45

therefore
angleB=angleC=45degrees

and

angleA=2x
=2(45)
=90 degrees


the measures of the given triangle are 45degrees,45degrees and 90degrees