Question

In an isosceles triangle, the vertical angle is equal to thrice the sum of the base angles. Find the vertical angle.​

Answer 1

Answer:

108

Step-by-step explanation:

in isosceles triangle

3x+X+X=180

5x =180

/5. /5

=36

vertical angle=3x=3×36=108

Answer 2

Answer:

135°

Step-by-step explanation:

we know that in an isosceles triangle the base angles are equal

let the base angles be x

according to the question,

vertical angle=3*(x+x)=6x

6x+x+x=180°

8x=180°

x=180/8=22.5°

vertical angle=6x=22.5*6=135°