Question

IN A RIGHT ANGLED TRIANGLE,THE ACUTE ANGLES ARE IN THE RATIO 4:5 .FIND THE ANGLES OF THE TRIANGLE IN DEGREE AND RADIAN?​

Answer 1

Answer:

5π/18

Step-by-step explanation:

The sum of the acute angles of a right-angled triangle is 90˚

Let angles be 4x and 5x.

→ 4x+5x=90˚

   9x=90

    x=10

So, angles are:-

4x=40˚

5x=50˚

rad(40˚) = 2π/9                                 [Multiply by π/180˚]

rad(50˚) = 5π/18