Question

Trapezoid and kites. What is the value of X in trapezoid ABCD?

1.X equals 15
2.X equals 20
3.X equals 45
4.X equals 60

Answer 1

In trapezoid ABCD, the value of x is 60.

Step-by-step explanation:

In trapezoid ABCD, we can see that AB is parallel to CD and AD is parallel to BC.

We are given that AB = 3x, and we need to find the value of x. Since AB is parallel to CD, we can use the property of corresponding angles to set up an equation: angle ABC = angle CDA.

If we let x represent angle ABC, then we know that angle CDA is also x. Therefore, angle CDA = 60 degrees.

We can now set up the equation: 2x + 60 = 180. Solving for x, we have 2x = 120, so x = 60.