the vertical angle of an isosceles triangle is twice the sum of its base angles find each angles of the triangle
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Step-by-step explanation:
let base angles be a and b and vertical angle be c
let a = x so b = x (since base angles of isosceles triangle are equal)
then, c = 2 (x+x) = 4x
now,
x+x+4x = 180(sum of all angles of triangle is 180)
6x = 180
x = 30
hence, each angle is 30.
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