Question

if angles of a triangle are in the ratio 5:4:9, find the measures of each angle

Answer 1

heya friend here's your answer

let the angles are 5x, 4x an 9x

according to angle sum property of a triangle,

so, 5x + 4x + 9x = 180°

$18x = 180$

$x = \frac{180}{18}$

$x = 10$

so, angles are 5x = 50°

4x = 40°

and 9x = 90°

hope it helps you

Answer 2

Hey there!!

Let the angles be 5x,4x&9x   (i)
Now,
      ⇒ 5x+4x+9x=180° (angle sum property of triangle)
     ⇒18x = 180°
    ⇒x=10.
Putting value of x in (i)
Angles are 50°,40° and 90°.

Hope this helps!