Can u tell me the answers and how u got them?
questions 23-27
thx

Yes I can, but I'm not going to do that exactly.
I'm going to tell YOU how to get the answers, and then let YOU get them.

#23).  If KNM is a right angle, then KNL and KNM add up to 90 degrees.
                (6x - 4)  +  (4x + 24)  =  90 degrees.
Now you can find 'x'.

#24).  If JNP and JNL are supplements, then they add up to 180 degrees. 
               (3x - 15) + (5x + 59)  =  180 degrees.
Now you can find 'x'.

#25).  JNL and LNM make a straight line, so they add up to 180 degrees.
Knowing that, you can add them and find 'x'.
When you know 'x', you can find the number of degrees in LNM.
LNM and JNP are 'vertical angles', so they're equal.
Whatever LNM is, JNP has the same measure.

#26).  Again, JNP and LNM are vertical angles, so they're equal.
Whatever JNP is, LNM has the same measure.
So the three angles in #26 are really  LNM, KNL, and KNJ.
All together, they make a straight line, so they add up to 180 degrees.
Knowing that, you can add them up and find 'x'.
When you know 'x', you can find the measure of each angle,
         and fill in the table in the box.

#27).  I don't know which angles are congruent.  You'll have to
find them after you finish #26, and see if they're both parts of
the same big angle.

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