Answer:
m<ACD = 124 degrees
Step-by-step explanation:
(2x+8) + (x-2) = 180 degrees
This is because both angles are on the same line (so they are a linear pair) and a straight line is 180 degrees. This means that they are supplementary
So:
(2x+8) + (x-2) = 180
Combine like terms:
2x + x + 8 - 2 = 180
3x + 6 = 180
-6 -6
3x = 174
Divide both sides by 3
x = 58
Now that you know x, you can put it into the equation for m<ACD:
2x+8
(2 multiplied by 58) + 8
(116) + 8
124
m<ACD = 124 degrees
Feel free to ask any follow-up questions if u don't understand
