Question

2 numbers are in the ratio 4:5 if the sum of these is equal to third angle. find the angles of the triangle.

Answer 1

let's first angle =4x
second angle=5x
third angle=5x+4x=9x
4x+5x+9x=180
18x=180
x=10
then first angle=4x=4×10=40
second angle=5x=5×10=50
third angle=9x=9×10=90

Answer 2

Let the common ratio between the two angles be x.

Then the angles will be 4x and 5x.

Given that the sum of these is equal to the third angle.

4x + 5x = 9x.

So, we have all three angles as 4x,5x,9x.

We know that sum of angles of a triangle = 180

4x + 5x + 9x = 180

18x = 180 

x = 180/18

x = 10.

1st angle = 4x = 4 * 10 = 40

2nd angle = 5x = 5 * 10 = 50

3rd angle = 9x = 9 * 10 = 90.


Therefore the angles of the triangle are 40,50,90.


Hope this helps!