Question

The angles of ∆PQR are in the ratio 4: 5: 6 as shown in the figure alongside .The ratio /PRS :/RQT is equal to -------​

Answer 1

Let the angles be 4x,6x and 5x

4x+6x+5x=180∘

15x=180∘

⇒x=12∘

So the angles are 

4×12∘=48∘5×12∘=60∘6×12∘=72∘

All the angles are less then 90

So triangle is an acute angled triangle.