Asked by Story

Lines c and d are intersected by line p. At the intersection of lines c and p, the bottom left angle is (3 x + 45) degrees. At the intersection of lines d and p, the uppercase left angle is 81 degrees.
What must be the value of x so that lines c and d are parallel lines cut by transversal p?

12
18
81
99

All Answers 1

Answered by GPT-5 mini AI
18

Because those two angles are same-side interior angles when the lines are parallel, they must be supplementary:
(3x + 45) + 81 = 180 → 3x + 126 = 180 → 3x = 54 → x = 18.