1025 Apply anglepair theorems from properties of parallel

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10/25: Apply angle-pair theorems from properties of parallel lines to find missing angle measures.

10/25: Apply angle-pair theorems from properties of parallel lines to find missing angle measures. Do Now: Have Out: - Foldable - Today’s Handouts Do Now: Begin your DO NOW! Agenda: Homework DO NOW! & Review Exploration 1 Exploration 2 IP EXIT TICKET! Unit 1 Test RETAKES on TUESDAY! STUDY AND/OR SEE ME!

Warm-Up Answers Vertical Angles 6 and 10 ------ Same-Side Interior Angles Corresponding Angles Alternate

Warm-Up Answers Vertical Angles 6 and 10 ------ Same-Side Interior Angles Corresponding Angles Alternate Exterior Angles Corresponding Angles Same-Side Interior Angles Vertical Angles Linear Pair Can you identify the old angle-pairs we have learned?

We will learn to: - Apply angle-pair theorems from properties of parallel lines to

We will learn to: - Apply angle-pair theorems from properties of parallel lines to find missing angle measures.

What are the 4 old angle-pairs we have talked about? Complementary Angles Supplementary Angles

What are the 4 old angle-pairs we have talked about? Complementary Angles Supplementary Angles Linear Pair Vertical Angles Let’s add these to our foldable

_____________ See below for angle measures Exploration 1: Name the angle pair. Use a

_____________ See below for angle measures Exploration 1: Name the angle pair. Use a protractor to give the measure of each angle. 127⁰ 53⁰ 136⁰ 44⁰ 53⁰ 127⁰

Linear Pair 127⁰ 53⁰ Vertical Angles 127⁰ Corresponding Angles 127⁰ 136⁰ Same-Side Interior Angles

Linear Pair 127⁰ 53⁰ Vertical Angles 127⁰ Corresponding Angles 127⁰ 136⁰ Same-Side Interior Angles 127⁰ 44⁰ Alternate Interior Angles 53⁰ 44⁰ Alternate Exterior Angles 53⁰ 44⁰

See below for angle measures Exploration 2: ------------------------------------Use a protractor to find measure of

See below for angle measures Exploration 2: ------------------------------------Use a protractor to find measure of each angle and label it on the diagram below. Then fill in the table. 126⁰ 54⁰ 126⁰

Linear Pair 126⁰ 54⁰ Vertical Angles 126⁰ Corresponding Angles 126⁰ Same-Side Interior Angles 126⁰

Linear Pair 126⁰ 54⁰ Vertical Angles 126⁰ Corresponding Angles 126⁰ Same-Side Interior Angles 126⁰ 54⁰ 54⁰ Congruent Alternate Interior Angles Alternate Exterior Angles Supplementary Congruent Supplementary

Summary Question: Do the lines above have to be parallel in order for you

Summary Question: Do the lines above have to be parallel in order for you to identify an angle-pair? No, angle-pairs exist when two lines (parallel or not parallel) are cut by a transversal.

Summary Question: Do the lines have to be parallel for the measurement relationships to

Summary Question: Do the lines have to be parallel for the measurement relationships to exist? Yes, in order to find ALL missing angle measures, the lines must first be parallel.

Example A: Double Arrow = || Lines = Can Apply Theorems/Postulate If parallel lines

Example A: Double Arrow = || Lines = Can Apply Theorems/Postulate If parallel lines are cut by a transversal, then all congruent or angle pairs are either ______ supplementary _______.

Theorems / Postulate Vertical Angles Theorem Alternate Exterior Angles Theorem Corresponding Angles Postulate Alternate

Theorems / Postulate Vertical Angles Theorem Alternate Exterior Angles Theorem Corresponding Angles Postulate Alternate Interior Angles Theorem Same-Side Interior Angles Theorem Linear Pair

Example B: If m∠ 2 = 96°, then find the measures of each angle

Example B: If m∠ 2 = 96°, then find the measures of each angle below if possible. 84⁰ Linear pair Vertical Angles Theorem 96⁰ Linear pair 84⁰ Alternate Interior Angles Theorem 96⁰ 84⁰ Corresponding Angles Postulate Alternate Exterior Angles Theorem Possible when given || Lines