Question

in an isosceles triangle a base angle is 4 times its vertical angle. find all the angles of the triangle . in an isosceles triangle the vertical angle is 15 degrees more than each of its base angles . find all the angles of the triangle

Answer 1

1) in an isosceles triangle base angles are equal
let the vertical angle =x
base angles = 4x and 4x
sum of three angles are equal to 180degree in any triangle
x+4x+4x=180
9x =180
x=180/9
x=20

therefore
three angles 20,80,80
2)let
the base angle = a
vertical angle= a+15
sum of three angles =180
a+a+a+15=180
3a=180-15
3a=165
a=165/3
a=55
therefore
three angles are
a,a,a+15
55,55,70