Question

Topic-Parallel lines To prove, when a transversal cuts two parallel lines Plz solve the fill in the blanks in the attachments

Answer 1

Step-by-step explanation:

Page 1

1. Pair of corresponding angles are equal.

Refer fig. 5.1

Consider angles PMB, BMN, MND

Angle PMB + Angle BMN =180. (ANGLES IN LINEAR PAIR)

Angle BMN + Angle MND = 180. (CORRESPONDING ANGLES)

THEREFORE, Angle PMB + Angle BMN =Angle BMN + Angle MND

ELIMINATE ANGLE BMN

THEREFORE, ANGLE PMB = ANGLE MND

FOR alternate angles consider angles BMN, MND AND AMN

Do the same as corresponding angles

For interior angles do the same as above angles, consider angles PMB, BMN, MND

In this you have to write property of corresponding angles.