Answer:
x = 12
y = 7
Step-by-step explanation:
For the given cyclic quadilateral, the sum of the opposite side of the quadilateral is 180degrees.
Hence 10x+24 + 60 - 2x = 180
10x-2x+24+60 = 180
8x + 84 = 180
8x = 180 - 84
8x = 96
x = 96/8
x = 12
Similarly;
16y-40+14y+10 = 180
16y+14y-40+10 = 180
30y - 30 = 180
30y = 180 + 30
30y = 210
y = 210/30
y = 7
Hence the value of (x,y) is (12, 7)