Question

Perpendicular lines AB and CD Intersect at point E. If mZAED = x+ 20, what is the value of x?

1. 70
2. 160
3. 90
4. 110

Answer 1

Perpendicular lines AB and CD intersect at point E. To find the value of x in angle ZAED, we can use the fact that angles in a straight line add up to 180 degrees. By setting up the equation x + 20 = 180 and solving for x, we find that x = 160. Option 2

Step-by-step explanation:

Perpendicular lines AB and CD intersect at point E. Since they are perpendicular, we know that angles AZE and CZD are right angles. Therefore, angle ZAED is 180 degrees, since the sum of angles in a straight line is 180 degrees. We are given that angle ZAED is equal to x + 20. So, we can set up the equation:

x + 20 = 180

Solving for x, we subtract 20 from both sides:

x = 160

Therefore, the value of x is 160. option 2