Question

In a given figure which lines are parallel? justify your answer

Helpp

Answer 1

MB // HG by the converse of the Corresponding Angles Theorem ⇒ C

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