Answer:
x= 14
y=5
Step-by-step explanation:
AOC and BOD are vertical angles so they are equal
AOC = BOD = 25
MOD = 90
MOD = MOB+ BOD
90 = 3x+23 + 25
Combine like terms
90 = 3x +48
Subtract 48 from each side
90-48 = 3x
42 = 3x
Divide by 3
42/3 = 3x/3
14 =x
We know that 5y+ 3x +23+90 = 180 since AB is a straight line
5y+ 3x +113 = 180
subtract 113 from each side
5y+3x =67
5y+ 3*14 =67
5y +42 = 67
5y = 67-42
5y = 25
Divide by 5
y = 25/5
y =5
