Question

two angles of a triangle are in the ratio 3 : 5. if the third angle is twice the larger scale , find the angle of the triangle

Answer 1

Hi ,

Let x , y , z are three angles of a triangle.

It is given that ,

x : y = 3 : 5

Let x = 3a ,

y = 5x ,

z = 2y ( given )

z = 2 × 5a = 10a

we know that ,

x + y + z = 180°

3a + 5a + 10a = 180°

18a = 180°

a = 180/18

a = 10

Therefore ,

x = 3a = 3 × 10 = 30°

y = 5a = 5 × 10 = 50°

z = 10a = 10 × 10 = 100°

I hope this helps you.

: )