WORKSHEET # PARALLEL LINES NAME:_______________________________ CLASS:_______DATE:___________

1. Find the diagram on the right, list three pairs of

(a) corresponding angles

(b) vertically opposite angles

(c) alternate angles

(d) supplementary angles

2. Using the figure in question 1, if a = 73° and e = 106°, find the measures of p, q, r, s, x, and y.

3. Find the unknowns in the figure.

(a) (b)

(c)

4. Find the value of the variables in each of the following.

5. Find the value of x in the figure below.

6. In the diagram, AB and CD are parallel, BT and AD are parallel. 𝑋𝐵𝑇 = 68° and 𝑋𝐷𝐶 = 58°. Calculate:

(a) 𝐴𝑋𝐵 (b) 𝐴𝐵𝑋

7. In the diagram AB is parallel to DE, 𝐴𝐵𝐶 = 23°, 𝐵𝐶𝐷=3x and the reflex angle 𝐶𝐷𝐸 = 229°.Calculate the value of x.

8. Find the value of x in each of the following.

9. In the diagram, RS is parallel to PAQ, CD is parallel to ASB. 𝐴𝐷𝐶 = 62° and 𝑄𝐴𝐷 = 26°. Calculate the value of x and y.