Name the transversal that forms each pair of angles

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Presentation transcript:

Name the transversal that forms each pair of angles Name the transversal that forms each pair of angles. Then identify the special name for the angle pair. ∠2 and ∠10 ∠7 and ∠13 ∠9 and ∠13 ∠6 and ∠16 ∠3 and ∠8 ∠11 and ∠13 Problem of the Day

Section 3-2 Angles and Parallel Lines

Then Now Objectives You named angle pairs formed by parallel lines and transversals. Use theorems to determine the relationships between specific pairs of angles. Use algebra to find angle measures.

Common Core State Standards Content Standards G.CO. 1 – Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.CO.9 – Prove theorems about lines and angles. Mathematical Practices 1) Make sense of problems and persevere in solving them. 3) Construct viable arguments and critique the reasoning of others. Common Core State Standards

Corresponding Angles Postulate

In the figure, m∠8 = 105. Find the measure of each angle In the figure, m∠8 = 105. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used. a) ∠1 b) ∠2 c) ∠7 Example 1

In the figure, m∠3 = 110. Find the measure of each angle In the figure, m∠3 = 110. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used. a) ∠6 b) ∠8 c) ∠1 Example 1

Parallel Lines and Angle Pairs

Redding Lane and Creek Road are parallel streets that intersect Park Road along the west side of Wendell Park. Find each angle measure and tell which postulate(s) or theorem(s) you used. If m∠1 = 100, find m∠4. If m∠3 = 70, find m∠4. Example 2

In the figure, m∠7 = 102. Find the measure of each angle In the figure, m∠7 = 102. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used. a) ∠11 b) ∠8 c) ∠2 d) ∠1 Example 2

Example 3 If m∠2 = 4x + 7, and m∠7 = 5x – 13, find x. Find y if m∠5 = 68 and m∠3 = 3y – 2. Example 3

Find the value of each variable. Explain your reasoning. Example 3

Find the value of each variable. Explain your reasoning. Example 3

p.183 #1, 4, 6, 8 – 10, 24 – 29, 31, 32, 42, 43, 49 Homework

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