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>

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) (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
RELATED QUESTIONS
Perform the indicated operation and expression lowest terms. Thanks for any help. (answered by CubeyThePenguin)
Fill in the blanks to complete the two-column proof in the image. Here is a link to the (answered by MathLover1)
Fill in the blanks to complete the two-column proof in the image. Here is a link to the (answered by Edwin McCravy)
Perform the indicated operation and expression lowest terms. (answered by CubeyThePenguin)
Is my answer to this problem correct? Here is the problem:Complete the following proof... (answered by MathLover1)
Select All the correct answers. Anabelle recorded her expenses for the month of... (answered by MathLover1)
Construct a line chart for the data: The data is available at this image link:... (answered by CubeyThePenguin)
Could you please help me write an INDIRECT PROOF for this problem? (answered by greenestamps,Edwin McCravy)
In the image, what is an angle? Here is a link to the image:... (answered by ikleyn)