Question

if the three angles of a triangle are in the ratio 1:3:5 find the three angles of a triangle​

Answer 1

first angle=180°×1/9=20°

second angle=180°×3/9=60°

third angle=180°×5/9=100°

Answer 2

Answer:

20°, 60°, 100°.

Step-by-step explanation:

Let the angles are a, 3a and 5a.  

As we know, sum of all interior angles of triangle is 180°,

sum of a , 3a and 5a is 180°

⇒ a + 3a + 5a = 180°

⇒ 9a = 180°

⇒ a = 180°/9 = 20°

   Hence, angles are

a = 20°

3a = 3(20°) = 60°

5a = 5(20°) = 100°