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:
Answer & explanation
Correct answer: option 2
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)