Question

Of the 3 angles of a triangle, the one is 1/3 of the first and the third angel is 26 more than the first angle. ​

Answer 1

let the angles of triangle be X,y, and z.

y=X/3

and

z=X+26

...

also by angle sum property of triangle

x+y+z=180

x+ X/3 + X+26=180

3x/3 + X/3 + 3x+78/3=180

7x +78/3=180

7x+78=180*3

7x+78=540

7x=540-78

7x = 462

x =462/7

x = 66

....

y =X/3

y=66/3

y=22

.....

z=X+26

z=66+26

z =92

Answer 2

Answer:

Let x, y, and z be 3 angles of the triangle

y = (1/3)x

z = x+26

x+y+z=180

substitute values of y and z in this eqn22

x+(x/3)+x+26=180

7x/3=180-26=154

x=154×3/7=66

y=x/3=22

z=26+66=92