The exterior angle of a triangle is 115° and the corresponding interior opposite angles are in the ratio 2 : 3. The measure of greatest angle of the triangle is:

70° 65° 69° 79°

65°

Let the angles are 3x and 2x We know that, 3x + 2x = 115° 5x = 115° x = 23° 3x = 69° 2x = 46°  Third angle = 180° - 115° = 65° ( Greatest)