Question

in an isosceles triangle the base angles are equal and the vertex angle is twice of each base angle find the measures of the angles of the triangle

Answer 1

let the base angles be x.
then vertex angle is 2x.
According to angle sum property of a triangle
AngleA+AngleB+AngleC =180
x+x+2x=180
4x=180
x=180/4
x=45

so each base angle is of 45 degree and vertex angle is 2×x
2×45=90degree


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