Question

The vertical angle of an isosceles triangle is 15° more than each of its base angles. Find each angle of the triangle​

Answer 1

Answer:

in an isosceles triangle , two based angles are equal.

let each based angle is x°

so vertical angle is (x+15)°

x+x+(x+15)=180

=> 3x=180-15

=> 3x=165

=> x=165/3

=> x=55

so each based angle are 55° and vertical angle is (55+15)°=70°