Question

Two angle of a triangle are in the ratio 4 ratio 5 if the sum of the angle is equal to the third angle find the angles of the triangle

Answer 1

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°

Answer 2

Answer:

1st angle:40, 2nd angle:50, 3rd:90

Step-by-step explanation:

Ratio = 4:5

first angle = 4x. and. second angle =

5x

Third angle = 4x +5x = 9x

accrd. to the angle sum property of triangle

first angle + second angle + third angle = 180'

4x + 5x + 9x = 180'

18x = 180'

x = 180/18

x = 10

4x = 4*10 40'

5x = 5*10 =50'

9x = 9*10 = 90'