ANGLE RELATIONSHIPS WITH PARALLEL LINES WORKSHEET

Find the angle x in the figure given below. Give your reason.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

(a) Which angle is corresponding to angle c?

(b) Which angle is alternate to angle d?

(c) Which angle is corresponding to angle h?

(d) Which angle is vertically opposite to angle a?

(e) Which angle is alternate to angle e?

(f) Which angle is co-interior with angle c?

(g) Which angle is vertically opposite to angle h?

(h) Which angle is co-interior with angle e?

(i) Which angle is corresponding to angle a?

(j) Which angle is vertically opposite to angle g?

Solution

Problem 8 :

Find the value of the variable(s) in each figure. Explain your reasoning.

Solution

Problem 9 :

Find the value of the variable(s) in each figure. Explain your reasoning.

Solution

Problem 10 :

(Using a 3rd parallel Line – Auxilury Line)

Solution