Question

if one base angle of an isosceles trangle is four times its vertical angle find all its angles

Answer 1

Your answer is in the pic

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Answer 2

suppose that the triangle is ABC with BC as its base then ,
angle b is four times the angle a
let angle a =X then angle b =4x angle c also equals 4x because it is a isosceles triangle
now according to angle sum property
X+4x+4x=180
9x=180
X=20

calculate other angles