Question

Of the three angles of a triangle the second one is one third of the first and the third angle is 26 degree more than the first angle find all the three angles of the triangle

Answer 1

Let the three angles be x,y,z

The sum of angles in a triangle is 180
=x+y+z=180
Let x be the first angle
given
​​​​​​y=(1/3)×x
z=x+26
x+y+z=180
=x+x/3 +x +26=180
=2x+x/3=180-26
(6x+x)/3×1 =154
7x/3 =154
x=154×3/7 =66
y=x/3 =66/3=22
z=x+26=66+26=92