Question

Difference between the measures of two angles of a linear pair is 50. Find the angles

Answer 1

take two angel be x and y
sum if 2 liner angle is x+y=180
and different is x-y=50
by adding there's 2 equations
2x=230
x=115
and y=180-115=65

Answer 2

Let us consider the two linear angles as
x and y respectively.
Therefore, by Linear Pair of angle property
x+y=180 ......(1)
Also, it is given that.
x-y=50 ........(2)
Therefore,
Adding equations (1) & (2),
2 x = 230
x = 115
Therefore,
measure of angle x is 115
and that of angle y = 180-115= 65


Hope helped