Question

An exterior angle of a triangle is 110 and it's two interior opposite angles are equal.find each of these equal angle

Answer 1

We know that one exterior and interior angles add to 180°.They are supplementar
let the angle next to the exterior angle be x
therefore,

x+110°=180°
x=180°-110°
x=70°
the angle with the linear pair is 70°

in a triangle sum of interior angles is 180°
it is also given that the opposite angles are equal.

let each of them be x


therefore,

x+x+70=180
2x=180-70
2x=110
x=110/2
x=55

therefore,
one angle is 55°
as both of them are equal,
other angle=55°

Answer 2

the angles will be 55 degrees each