Given the figure of a cyclic quadrilateral
The sum of the opposite angles = 180
so, we can write the following equations:

we will find (x) from equation (1):
x = 180 - 100 = 80
We will find (y) from equation (2):
2y = 180 - 102
2y = 78
y=78/2 = 39
So, the answer will be:
x = 80
y = 39
Answer:
x=7 and m<LMN = 120
Step-by-step explanation:
if MO bisects LMN then 13x - 31 must be equal to x + 53
13x - x = 53 + 31
12x = 84
x = 7
and
13x - 31 + x + 53 = m<LMN
14x + 22 = m<LMN
since x is 7
14×7 + 22 = 120
So,
We know that we cannot add or subtract quantities of the same kind.
-18xy can only be added/subtracted to 4yx, which is the same as 4xy. The result would be -14xy, or -14yx.
The correct option is B.