Question

9. Two angles of a triangle are in the ratio 4:5. If the sum of these angles is equal to the
third angle. find the angles of the triangle.

Answer 1

Step-by-step explanation:

let the other angle be y

4x+5x=y

9x=y

wkt

sum of angles of a triangle = 180

4x+5x+9x=180

18x= 180

x= 10

angles are 4x= 40

5x=50

9x=90

Answer 2

Let the measure of two angles be 4x and 5x and the third one is ( 4x + 5x ).

We know that ;

Sum of angles of triangle = 180°

⇒ 4x + 5x + 4x + 5x = 180

⇒ 18x = 180

⇒ x = 180/18

⇒ x = 10

Therefore, the angles are ;

4x = 4 * 10 = 40°

5x = 5 * 10 = 50°

9x = 9 * 10 = 90°