1 Let the angles of a triangle be p q r where p q and r a

1. Let the angles of a triangle be /p , /q , /r , where p, q and r are integers. What values can p, q and r take? [8]

Solution

Let p,q,r be integers.

The sum has to be , so the values of /p +/q+/R=

So,

p=2, q=4,r=4. so 3 values

p=2,q=3, r=6 so 6 values

p=q=r=3 so 1 value.

All in all p,q,r could take 10 values.

Thus