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Vertical Angles are congruent

The sum of the measure of the angles in a linear pair is 180°.
They are supplementary angles.
   Supplementary angles:
 two angles whose measures have a sum of 180°
 Complementary angles:
 two angles whose measures have a sum of 90°

 

Perpendicular lines intersect to form four right angles.
If a line is perpendicular to a plane, then the line must be perpendicular to every line in the plane that intersects it.

Can be assumed from figure:
 All points shown are coplanar
 L, P and Q are collinear
 PM, PN, PO and LQ intersect at P
 P is between L and Q
 N is in the interior of <MPO
 <LPQ is a straight angle
 <LPM and <MPN are adjacent angles
 <LPN and <NPQ are a linear pair
 <QPO and <OPL are supplementary
Cannot be assumed from the figure:
PN ^ PM
<QPO @ <LPM
LP @ PQ,  PO @ PN,
 PN @ PL, PQ @ PO
<QPO @ <OPN
<OPN @ <LPM

 

If I use certain symbols it can be assumed for example: