Question

L parllal M and P parpendicular L and q parpendicular M show that p parllal q reason of your answer

Answer 1

given:

=>L||M
=>p perpendicular to L
=>q perpendicular to M

to prove: p||q

proof:-

since, L||M

so, angle MBC=angleLCq=90°
coz,they are corresponding angles.

since,angle LCq=angle LDp
both are 90°

and they are co-interior angle.

this is only possible when p||q

so,p||q

Hence proved...

@Altaf

Answer 2

Angle PDC =angle DAB (corresponding angles)
90° = angle DAB
Angle DAB + Angle ABC
90° + 90° = 180°
Hence,p//q as the sum of interior angles is 180°.