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how do I solve, using the theroms and given information to show the r || s

How Do I Solve Using The Theroms And Given Information To Show The R S class=

Sagot :

The angles 4 and 8 are alternate exterior angles. If x=5, this angles are:

[tex]\measuredangle4=13(5)-4=61[/tex][tex]\measuredangle8=9(5)+16=61[/tex]

Since the angles are equal, we conclude that the lines r ans s are parallel. This follows from the theorem: If two lines are cut by a transversal so that alternate exterior angles are congruent, then these lines are parallel.

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