Determining Angle Measure With Parallel Lines Worksheets With Answer Key - Johnny Wolfe, Jay High School Santa Rosa County Florida - 2001 Page 8
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Determining Angle Measure with Parallel Lines Worksheet
Key
Answer the following questions.
1. Explain why ∠ 4 and ∠ 6 must be supplementary.
If 2 parallel
lines are cut by a transversal, consecutive interior angles are
supplementary.
2. If you know that m ∠ 1 = 70, explain two different strategies you
could use to find m ∠ 5.
Sample answers: First m ∠ 1 = m ∠ 3
because ∠ 1 and ∠ 3 are vertical angles, then m ∠ 3 + m ∠ 5 = 180 because, if
2 parallel lines re cut by a transversal, consecutive interior angles are
supplementary. Therefore, 70 + m ∠ 5 = 180 and m ∠ 5 = 110. m ∠ 1 = m ∠ 8
because if 2 parallel lines are cut by a transversal, alternate exterior angles
are congruent. ∠ 5 and ∠ 8 are supplementary because ∠ 5 and ∠ 8 are a
linear pair and if two angles form a linear pair, they are supplementary. So
m ∠ 5 and m ∠ 8 = 180 by definition of supplementary angles. Therefore,
m ∠ 5 + 70 = 180 and m ∠ 5 = 110.
3. Explain what the arrowheads on the lines in both diagrams at the right indicate.
Lines are parallel
4. If BD || AT , then ∠ 1 ≅ ∠ 3 and ∠ 6 ≅ ∠ 4. Explain why this is true. (see figure
above)
If 2 lines are cut by a transversal, corresponding angles are
congruent.
5. If WP || KR , then ∠ 1 ≅ ∠ 2. Explain why this is true. (see figure above)
If 2
lines are cut by a transversal, alternate interior angles are congruent.
List the conclusions that can be drawn from each figure.
∠ 1 ≅ ∠ 4
6.
Johnny Wolfe Determining Angle Measure with Parallel Lines
Jay High School
Santa Rosa
County Florida
September 14, 2001
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