it is required to construct an isosceles triangle

Question

it is required to construct an isosceles triangle such that the vertex angle shall be 5 degree greater than half a base angle. how large should the angles of the triangles be

Answer 1

x=base angle

(1/2)x+5=vertex angle

x+x+(1/2)x+5=180

2.5x=175

25x=1750

x=1750/25

x=70º for each base angle

(1/2)(70)+5=35+5=40º for the vertex angle