Corresponding Angle Conjecture
Definition of Corresponding Angle Conjecture
If two parallel lines are cut by a transversal, then the Corresponding Angles are congruent.
More About Corresponding Angle Conjecture

If a transversal intersects two lines and the corresponding angles are congruent, then the lines are parallel.
Video Examples: Corresponding Angles
Example of Corresponding Angle Conjecture
Solved Example on Corresponding Angle Conjecture
Ques: l and m are parallel lines in the figure. What are the measures of ?x, ?y, and ?z?
Choices:
A. 60�, 30� and 30�B. 30�, 30� and 32�
C. 58�, 32� and 32�
D. None of the above
Correct Answer: C
Solution:

Step 1: From the figure, ?x and 58�, ?y and ?z form corresponding angles.
Step 2: ?x = 58� [Corresponding angles are equal.]
Step 3: ?z + 90� + 58� = 180�
Step 4: So, ?z + 148� = 180�
Step 5: ?z = 180�  148� = 32�
Step 6: ?z = ?y [Corresponding angles are equal.]
Step 7: ?y = 32�
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