SOLUTION: Write a two-column proof. Here is the image for the proof: <a href="http://imgur.com/Gm64kKM"><img src="http://i.imgur.com/Gm64kKM.png" alt="" title="Hosted by imgur.com" /></a>

Algebra ->  Geometry-proofs -> SOLUTION: Write a two-column proof. Here is the image for the proof: <a href="http://imgur.com/Gm64kKM"><img src="http://i.imgur.com/Gm64kKM.png" alt="" title="Hosted by imgur.com" /></a>       Log On


   



Question 725853: Write a two-column proof.
Here is the image for the proof:

Lines JM, KN, and LO all intersect at point P. measure of angle KPL = 30 and measure of angle JPL = 90. Prove the measure of angle NPM = 60.
1. Lines JM, KN, LO intersect at point P, measure of angle JPL = 30, measure of angle JPL = 90. | Given
I really don't know where to go from there.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
m KPL = 30 ( given)
mKPL = mNPO ( vertically opposite angles)
m JPL = m MPO ( vertically opposite angles)
m MPN + m NPO = m MPO (additive property of angles)
m MPO = m JPL ( vertically opposite angles)
m JPL = 90 deg
m MPN + mNPO = 90 deg.
mMPN + 30 deg = 90 deg
m MPN = 60 deg