Question

Find the value of X for which L is parallel to M. The diagram is not to scale. SHOW WORK!

Answer 1

Alternate interior angles are equal

• 3x-43=80
• 3x=80+43
• 3x=123
• x=41

Answer 2

• x = 41

Explanation:

If l and m are parallel, the given two angles are congruent as alternate interior angles:

• 3x - 43 = 80

Solve for x:

• 3x = 80 + 43
• 3x = 123
• x = 123/3
• x = 41