Pre-Calculus Homework Solutions 54

Pre-Calculus Homework Solutions 54 - 74. x 2. 2x 3x 180 6x...

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74. x 1 2 x 1 3 x 5 ¬ 180 6 x 5 ¬ 180 x 5 ¬ 30 There are two linear pairs in the figure. In one linear pair the angles measure x and 3 x 1 2 x 5 5 x , or 30 and 150. In the other pair the angles measure 3 x and x 1 2 x 5 3 x , or 90 and 90. 75. 3 x 2 1 1 2 x 1 6 5 ¬ 180 5 x 1 5 5 ¬ 180 5 x 5 ¬ 175 x 5 ¬ 35 3 x 2 1 5 ¬ 3(35) 2 1 5 ¬ 104 2 x 1 6 5 ¬ 2(35) 1 6 5 ¬ 76 The measures of the angles are 76 and 104. Page 132 Geometry Software Investigation: Angles and Parallel Lines 1. The pairs of corresponding angles are / AEG and / CFE , / AEF and / CFH , / BEG and / DFE , / BEF and / DFH . The pairs of alternate interior angles are / AEF and / DFE , / BEF and / CFE . The pairs of alternate exterior angles are / AEG and / DFH , / BEG and / CFH . The pairs of consecutive interior angles are / AEF and / CFE , / BEF and / DFE. 2. The pairs of corresponding angles in Exercise 1 that have the same measure are / AEG and / CFE , / AEF and / CFH , / BEG and / DFE , / BEF and / DFH . The pairs of alternate interior
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