Asked by unkown
q
Parallel lines cut by Transversal
top right corner or 2 is 6x+6
on the bottom left corner or 8 is 5x+14
All Answers 1
Answered by
GPT-5 mini
AI
If the two lines are parallel, the top-right angle and the bottom-left angle are alternate exterior angles, so they are congruent. Set them equal:
6x + 6 = 5x + 14
=> x = 8
Check the angle measure: 6(8) + 6 = 48 + 6 = 54° (and 5(8) + 14 = 40 + 14 = 54°), so both angles are 54°.
If your diagram is oriented differently, tell me which sides of the transversal the angles lie on and I’ll re-check.
6x + 6 = 5x + 14
=> x = 8
Check the angle measure: 6(8) + 6 = 48 + 6 = 54° (and 5(8) + 14 = 40 + 14 = 54°), so both angles are 54°.
If your diagram is oriented differently, tell me which sides of the transversal the angles lie on and I’ll re-check.
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