Question

the first angle of a triangle is one third its second angle,where as the third angle is 5 times the first angle . find the measures of all the angles of the triangle.

Answer 1

Let x be 1st angle,y be 2nd angle and z be 3rd angle.

given first angle of a triangle is one third its second  i.e., x=(1/3)y i.e., y=3x

and third angle is 5 times the first angle i.e., z=5x.

we know x+y+z=180

x+3x+5x=180

x=20.Hence from this we get z=5x=5(20)=100 and y=60