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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**

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.

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**Ex.5: Find the value of x and y. Ex.6: Find and **

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Ex.8: Find the value of x.

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3.1 Lines and Angles Objective: Students will identify the relationships between 2 lines or 2 planes, and name angles formed by parallel lines and transversals.

3.1 Lines and Angles Objective: Students will identify the relationships between 2 lines or 2 planes, and name angles formed by parallel lines and transversals.

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