Question

the sum of two angles of a triangle is 116 degree and their difference is 24 degree find the measure of each angle of the triangle

Answer 1

let the two unknown angles be x and y

x+y=116  (equation 1)

x-y=4    (equation 2)

using elimination method
subtract equation 2 from 1

(x-x)(y+y)=116-4

2y=112
y=112/2=56
y=56
since x+y=116
x=60

And sum of all angles in a triangle is 180 degrees
x+y+z=180(z is the third angle)
60+56+z=180
z=180-60+56
z=180-116

z=64