Question

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

Answer 1

Answer:

let two anles be x and y

by the problem,

x+y=116............(1)

x-y=24..............(2)

adding the equations we get,

x+y+x-y=116+24=140

2x=140

x=70.........(3)

putting the value of x in equation (2) we get,

x-y=24

70-y=24

y=70-24

y=46

ans:- x=70 y=46

Answer 2

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