Answer:
MB // HG by the converse of the Corresponding Angles Theorem ⇒ C
Step-by-step explanation:
Two lines are parallel if intersected by a line and formed one of these types of angles.
- Corresponding angles equal in measures (shaped letter F)
- Alternate angles equal in measures (shaped letter Z)
- Interior supplementary angles, the sum of their measures is 180° (shaped letter U)
In the given figure, there are 4 lines intersected
∵ Lines MB and HG intersected by line BG
∵ There are two angles marked by the same mark
∴ They are equal in measures
∵ They are in the corresponding position
∴ Lines MB and HG are parallel
∴ MB // HG by the converse of the Corresponding Angles Theorem
