Question

14. In an isosceles triangle, if the vertical angle is sum of the base angles,
then the vertical angle is: A) 90° B) 60° C) 45° D) 30°​

Answer 1

Answer:

Vertical angle = 90°

Step-by-step explanation:

let the base angles be x

∴ vertical angle = x+x

                          = 2x

The sum of all angles in a triangle = 180°

∴ x+2x+x = 180°

∴4x = 180°

∴ x = 180/4

     = 45°

Vertical angle = 2x

                       = 2(45)

                       = 90°