Question

In an isosceles triangle,the vertical angle is 15 degree greater than each of its base angles. find all the angles of the triangle

Answer 1

As in an isosceles triangle base angles are equal (angles opp. to equal sides are equal)
let the angles at the base be x
vertical angle=x+15
by angle sum property
x+x+x+15=180
3x+15=180
3x=165
x=55
Therfore all angles of the triangle be
x=55
x=55
x+15=55+15=70