This document contains lesson materials on lines and angles including:
- Solving two equations involving variables w and v
- Vocabulary terms related to lines and angles
- Identifying different angle relationships (corresponding angles, interior angles, etc.) when lines are cut by a transversal
- Worked examples of finding missing angle measures using properties of parallel lines
6. 1 2 3 4 5 6 7 8 t 4 and 2 3 and 1 5 and 7 6 and 8 Corresponding angles : any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
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11. Alternate Interior Angles 3 and 7 2 and 6 1 2 3 4 5 6 7 8 t When two lines are crossed by another line, the pairs of angles on opposite sides of the transversal but inside the two lines.
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13. Alternate Exterior Angles 5 and 1 4 and 8 1 2 3 4 5 6 7 8 t When two lines are crossed by another line, the pairs of angles on opposite sides of the transversal but outside the two lines.
21. SOLUTION EXAMPLE 3 Using Parallel Lines Use the diagram to find the angle measure. Definition of supplementary angles 55° 125° 125° 55° 55° 126° 55° a. m 1 b. m 2 a. 1 and 5 are corresponding angles, so they have equal measures. You can find m 5 because it is the supplement of the given angle. m 5 = 55 Subtract 125 from each side. ANSWER m 1 = 55 m 5 + 125 = 180
22. EXAMPLE 3 Using Parallel Lines b. 2 and the given angle are alternate exterior angles, so they have equal measures. ANSWER m 2 = 125
23. GUIDED PRACTICE for Example 3 SOLUTION 85° 95° 95° 85° 95° 85° 95° m 2 and the given angle are corresponding angles, so they have equal measures. ANSWER m 2 = 85 9. m 2 Find the angle measure.
