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Two Parallel Lines Cut By A Transversal Answer Key
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In the following diagram two parallel lines are cut by a transversal What is the value of x Solution The two angles 3x 15 and 2x 7 are equivalent That is 3x 15 2x 7 Now solve for x 3x 15 15 2x 7 15 3x 2x 22 3x 2x 2x 22 2x x 22 Parallel Lines and Transversals Example 2
1 and 5 2 and 6 3 and 7 4 and 8 It should be noted that the pair of corresponding angles are equal in measure that is 1 5 2 6 3 7 and 4 8 Alternate Interior Angles Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal
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Parallel Lines and Transversals Date Period Identify each pair of angles as corresponding alternate interior alternate exterior or consecutive interior 2 y x 3 y x 4 y x 5 y x 6 y x 7 y x 8 y x 1 i L2c0 j1e1 2 wKcuXtwaN NSmoFfft DwxaTr1eS OLwLXCZ 4 b GAKlzl x 7rHi1gVhntis E 5r 1eJs ge 5r wvteOd3 o Z TM Ta Od0eF Dw
If two parallel lines are cut by a transversal the alternate interior angles are congruent Make sure to note that the alternate interior angles are only congruent if the transversal is crossing two parallel lines
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Problem 1 Line P P is parallel to line V V Directions Identify the alternate interior angles Show Answer Problem 2 Line P P is parallel to line V V Directions Identify the alternate exterior angles Show Answer Problem 3 Line P P is parallel to line V V Directions Identify the corresponding angles
Parallel Lines Cut by a Transversal Angle Measures Answer Key Amazing Mathematics 107 81 91 69 85 91 73 79 93 81 103 95 89 Finish 107 75 87 99 111 97 71 89 83 99 101 100 95 60 6177 110 103 81 115 85 101 71 120 65 60 79
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Parallel Lines Transversal Worksheet
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1 and 5 2 and 6 3 and 7 4 and 8 It should be noted that the pair of corresponding angles are equal in measure that is 1 5 2 6 3 7 and 4 8 Alternate Interior Angles Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal
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Answer If two parallel lines are cut by a transversal then the two same side interior angles are equal B Write and solve an equation to find the value of x Answer 4x 3 x 2 180 4x 3 x 2 180 5x 5 180 5x 180 5 5x 175 x 175 5 x 35 C What are the two angle measures Answer
1 and 5 2 and 6 3 and 7 4 and 8 It should be noted that the pair of corresponding angles are equal in measure that is 1 5 2 6 3 7 and 4 8 Alternate Interior Angles Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal
Answer If two parallel lines are cut by a transversal then the two same side interior angles are equal B Write and solve an equation to find the value of x Answer 4x 3 x 2 180 4x 3 x 2 180 5x 5 180 5x 180 5 5x 175 x 175 5 x 35 C What are the two angle measures Answer
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If A Transversal Cuts Across Parallel Lines Interiror Design