Please help owth/#/test-playerO 100% O e e=良区In the diagram, the parallel lines m and n are cut by the transversal line t.145 /678.Which angles are congruent?A. 1 and 8B. 22 and 8C. 24 andD. 24 and 7S RESETDonald Arthur Lewis ID# ******67Growth:2.

Name: Please help owth/#/test-playerO 100% O e e=良区In the diagram, the paral
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Description: Please help owth/#/test-playerO 100% O e e=良区In the diagram, the parallel lines m and n are cut by the transversal line t.145 /678.Which angles are congruent?A. 1 and 8B. 22 and 8C. 24 andD. 24 and 7S RESETDonald Arthur Lewis ID# ******67Growth:2.

Answered: In the diagram, the parallel lines m…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

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Chapter4: Writing Linear Equations

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owth/#/test-player
O 100% O e e
=良区
In the diagram, the parallel lines m and n are cut by the transversal line t.
1
4
5 /6
7
8.
Which angles are congruent?
A. 1 and 8
B. 22 and 8
C. 24 and
D. 24 and 7
S RESET
Donald Arthur Lewis ID# ******67
Growth:
2.

Expert Solution

Step 1

From the given figure, it can be seen that angles 1 and 4 are opposite angles, and thus, $∠ 1 = ∠ 4$ . Also, angles 4 and 8 are alternate angles made by the transversal line t, and thus $∠ 4 = ∠ 8$ . Therefore, we have $∠ 1 = ∠ 8$ . Hence, $∠ 1$ and $∠ 8$ are congruent.

Note that angles 2 and 6 are alternate angles made by the transversal line t. Therefore, $∠ 2 = ∠ 6$ . Also, angles 6 and 8 are not equal as they are supplementary angles, and thus $∠ 2$ and $∠ 8$ are not congruent.

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