Answer:
You can find out x and y by solving these equations simultaneously.
First case:
according to the opposite angle theorem, (18y+5)° = (10x-61)°
Now let's simplify them;
18y-10x = -66
y= (10x-66) ÷ 18......................(i)
Second case:
Around that centre, it is always 360°.
And the angle opposite to the (x+10)v is also (x+10)°.
And sum of these 4 angles is 360°.
(18y+5)° + ( 10x-61)° + (x +10)° + (x +10)°= 360°
18y + 12x -36 = 360°
18y + 12x = 396...........................(ii)
Now replace the value of y from (i) into (ii):
18 ((10x-66) ÷ 18) +12x =396
(10x-66) +12x = 396
22x -66 = 396
22x = 462
x = 21
Now let's put this value of x into our equation (i):
y= (10(21)-66) ÷ 18
y= 8
Cheers :)
