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Section 1.5- Exploring Angle Pairs Essential Question: How can special angle pairs help us identify geometric relationships and find angle measures? Do Now: Sketch the completed puzzle. Types of Angle Pairs Definition Example ______________ angles Common ________ and ________ ______________ angles Two angles whose sides are ______________ rays _______________ angles Two angles that equal _____ ________________ angles Two angles that equal _____ Example 1: Identifying Vertical Angles Use the diagram to answer the following questions. 1. Are ∠ AFB and ∠ EFD vertical angles? Explain. 2. Are ∠ AFE and ∠ CFD vertical angles? Explain. Example 2: Can you make the conclusion from the information in the diagram? Example 3: ∠ KPL and ∠ JPL are a linear pair. What are the measures of ∠ KPL and ∠ JPL? Angle Bisector ray that divides an angle into two ______________ angles Example 4: Using an Angle Bisector to Find Angle Measures ⃗⃗⃗⃗⃗⃗⃗ 𝐾𝑀 bisects ∠ JKL. If m ∠JKL = 72, what is the m∠ JKM? Draw the figure. Group Work: Complete ALL problems. HW: p. 38-39 #11-23, 25-29 odds, 31-36, 38, 39, 41