if EBD= 4x-8, and EBC=5x+20, find x
X=12
18. If m∠EBD= 4x - 8 and m∠EBC= 5x + 20,find the value of x and m∠EBC. 12; 80
To find the value of x, we need to set the two given expressions equal to each other and solve for x.
EBD = 4x - 8
EBC = 5x + 20
Setting these two expressions equal to each other:
4x - 8 = 5x + 20
To solve for x, let's isolate the x terms on one side of the equation. We can do this by subtracting 4x from both sides of the equation:
-8 = x + 20
Next, let's isolate the constant term on one side by subtracting 20 from both sides of the equation:
-8 - 20 = x
Simplifying both sides gives us:
-28 = x
Therefore, the value of x is -28.