Final answer:
To find the value of x when perpendicular lines AB and CD intersect at E forming angle IZAED, we set x + 20 equal to 90 degrees (since perpendicular lines create a right angle). Solving for x, we find that x is 70 degrees.
Step-by-step explanation:
The question asks for the value of x when two perpendicular lines AB and CD intersect at point E creating an angle IZAED of x + 20 degrees. Since AB and CD are perpendicular, the angle they form, which is IZAED in this case, is 90 degrees, as the definition of perpendicular lines means they meet to form a right angle.
We now have an equation where x + 20 is equal to 90 degrees because IZAED is a right angle:
x + 20 = 90
To find the value of x, subtract 20 from both sides:
x = 90 - 20
x = 70
Therefore, the value of x is 70 degrees.