Question

two angle of a triangle are in the ratio 4 ratio 5 the sum of the angle is equal to the times angle find the angle of a triangle​

Answer 1

Answer:

40° and 50°

Step-by-step explanation:

Let the 2 angles be s1 and s2.

Given s1/s2 = 4/5

It is also given that s1 + s2 = 180 - s1 - s2

2s1 + 2s2 = 180.  ----> s1 + s2 = 90

Therefore the thrid angle is 90°.

Dividing 90° in ratio 4/5, hence, we get, 40° & 50°

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°