Question

Ratio of exterior angles of a triangle is 2:3:7. What is the measure of largest interior angle?​

Answer 1

Answer:

let the ratio of exterior angle be 2x, 3x,7x

1. sum of all exterior angle is:180 degree
2. 2x + 3x + 7x = 180
3. 12x = 180
4. x = 180/12
5. x = 15
6. 2x = 2* 15 = 30
7. 3x = 3 * 15=45
8. 7x = 7* 15= 105
9. we know that,
10. the largest angle of a interior angle is = 105