Question

In given figure below decide whether P is parallel to q

Answer 1

Answer:

Step-by-step explanation:

(i): Sum of interior angles on the same side of transversal

=\ 126\degree+44\degree=170\degree\ne180\degree

Therefore l is not parallel to m.

(ii): Let angle opposite to 75\degree be x.

x=75\degree (Vertically opposite angles)

Sum of interior angles on the same side of transversal

=x+75\degree=75\degree+75\degree

=150\degree\ne180\degree

Therefore l is not parallel to m.

(iii): Let the angle opposite to 57\degree be y

Therefore z=57\degree (Vertically opposite angles)

Sum of interior angles on the same side of transversal

=57\degree+123\degree=180\degree

Therefore l is not parallel to m

(iv): Let the angle opposite to 72\degree be z.

Therefore z=70\degree (Vertically opposite angles)

Sum of interior angles on the same side of transversal

=z+98\degree=72\degree+98\degree

=170\degree\ne180\degree

Therefore l is not parallel to m.