Question

in a triangle and exterior angle at a vertex in 95 degree and its one of the interior opposite angle in 55 degree find all the angles of the triangle

Answer 1

let angle on vertex be x and other side be y

now, x + 55=95 (exterior angle property )

           x=40.

also x+y+55=180(angle sum property)

           y=180-(55+40)

             y=85

Answer 2

Exterior angle at the vertex = 95º

⇒ Interior angle at the vertex = 180 - 95 = 85º

Find the 3rd angle in the triangle:

1st angle = 85º

2nd angle = 55º Given)

Sum of angles in a triangle is 180º

3rd angle = 180 - 85 - 55 = 40º

Answer: The angles are 40º, 55º and 85º