Question

An exterior angle of a triangle is 110*and its 2 interior opposite angles are equal . Find each of the interior angles

Answer 1

if one of the exterior angle is 110 degrees, interior angle on that line will be 80 degree

let the measure of one equal interior angle be x degree

hence,

x + x + 80 =180   (sum of measures of all angles of a triangle is 180 degrees)

2x + 80 = 180

2x = 180-80

2x = 100

x = 100/2

x = 50

hence two measure of equal opposite angle is 50 degrees each