Question

the sum of 2 angles of triangle is 116 and there difference is 24 find all the angles of triangle

Answer 1

sum of 2 angles x + y = 116 
x - y = 24 
substitute we get 
2x = 92 
x = 46
apply x value 
x + y = 116 
46 + y =116
y =116-46 
y =70
so the angles are 46 & 70

Answer 2

Let the two angles be x,y and z
x + y = 116
x - y = 24
----------------------
2x = 140

x = 70 degrees

Substituting in first equation , 70+y=116
y = 116 - 70 = 46 degrees

Sum of angles of triange = 180
x+y+z = 180
70 + 46 + z = 180
z = 180 - 116
z = 64 degrees