Question

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 in triangle

Answer 1

1st angle- 40°
2nd angle- 50°
3rd angle- 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°