Question

one of the exterior angles of a triangle is 140° and the interior opposite angles are in the ratio 2:3 find the angle of the triangle​

Answer 1

exterior angle of a triangle = sum of 2 opposite interior angles

let the exterior angle be 2x and 3x

therfore,

140= 2x+3x

140=5x

x= 28 degrees

therfore the opposite interior angles are 56, 84

Angles in a triangle add up to 180 degrees

therfore, 180 - (56+84) = third angle

180 -140

= 40 degrees

Therefore the angles of the triangle are 40, 56, 84