Question

A triangle has interior angles 3m+6,7m+2,9m+20. Choose its largest EXTERIOR angle

Answer 1

Answer:

150° is the largest exterior angle which is the exterior angle of 3m+6°

Step-by-step explanation:

LET,

the 1st angle be 3m+6

2nd angle be 7m + 2

3rd angle be 9m + 20

sum of 3 angles of a triangle = 180°

(3m+6)° + (7m+2)° (9m+20)° =180°

3m + 6 + 7m + 2 + 9m + 20 = 180°

19m + 28° = 180°

19m = 180° - 28°

19m = 152°

m = 152°/19m = 8

then

3m + 6 = 30° exterior angle = 150°

7m + 2 = 58° exterior angle = 122°

9m + 20 = 88° exterior angle = 88°

therefore 150° is the largest exterior angle which is of 3m+6.

Thank you!!‍