chapter 3.2 notes: use parallel lines and transversals goal: you will use angles formed by parallel...
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Chapter 3.2 Notes: Use Parallel Lines and Transversals
Goal: You will use angles formed by parallel lines and transversals.
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• Postulate 15 Corresponding Angles Postulate:
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Ex.1: The measure of three of the numbered angles is 120o. Identify the angles. Explain your reasoning.
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• Theorem 3.1 Alternate Interior Angles Theorem:
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
• Theorem 3.2 Alternate Exterior Angles Theorem:
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
• Theorem 3.3 Consecutive Interior Angles Thm:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.
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Ex.2: Find the value of x.
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Ex.3: Find the value of x.
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Ex.4: Use the diagram below.
a. If , find and Tell
which postulate or theorem you used in each case.
b. If and , what is the
value of x? Show your steps.
1 105om 4, 5m m 8.m
3 68om 8 (2 4)om x
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Ex.5: Find the value of x and y.
Ex.6: Find and 1m 2m
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Ex.8: Find the value of x.