Question

An exterior angle of a triangle measure 110° and its interior opposite angle are in the ratio 2:3 . Find the measure of the triangle​

Answer 1

Answer:

1st angle =44° and 2nd 66°

Answer 2

Step-by-step explanation:

we know that measure of exterior angle of triangle is always equal to sum of opposite interior angles

let the measure of interior angles be 2x and 3x

sum of interior angles = 2x + 3x = 110

5x = 110

x = 22

interior angles = 2 × 22 = 44°

3 × 22 = 66°

Now, let the third angle be y

44+66+y = 180. (angle sum property)

110 + y = 180

y = 180-110

y = 70°