Question

in a triangle one angle is one third of the greatest angle and another angle is two fifth of greatest angle calculate the angle briefly explain

Answer 1

Consider one angle =x

Other angle is =1/3 of x=x/3

Obviously the angle x/3 is smaller than the angle x.

Third angle is 19 degrees more than the greater angle of previous two angles.

The greater angle between the angle x and angle x/3 is x.

So third angle is 19+x.

Now the three angles are x,x/3,19+x

As we know, sum of angles of a triangle is 180.

So x+x/3+19+x=180

x+x/3+x+19=180

2x+x/3=180-19

(6x+x)/3=161

7x/3=161

x=(3*161)/7

x=3*23

x=69

One angle is 69

Other angle is 1/3 of other

So 1/3 of 69 is (1/3)*69=23

Third angle is 19 degrees more than the greater angle.

Greater angle of previous two angles is 69. So third angle is 69+19=88.

So to check the answer add all the three angle and find whether it is coming equal to 180.

69+23+88=180.

So the answer is correct.

The three angles are 69,23,88 degrees