Please answer above question

1) We know that lines are parallel if alternate interior angles are equal)
Lines PN is parallel to LM (angles MLO and angles ONP are equal (alternate interior angles))

2) LM is parallel to PN and let us consider MP to be transversal.
Angle LMO=Angle NPO (alternate interior angles)
Angle NPO=20 degree

3) Angle sum property=The sum of all three angles is 180 degree.
If you don't know about it then I am teaching you.

4) Angle P+Angle N+Angle O=180 (angle sum property)
20+70+angle O=180 degree
90+angle O=180
Angle O=90 degree

Angle NPO=20 degree and Angle PON=90 degree

  • 1
What are you looking for?