Angle J and angle M are base angles of an isosceles trapezoid JKLM. If angle J=20x+9 and angle M =14x+15, find angle K

k or l will be 151 degrees.

j and m are equal to each other, giving you x=1, substitute this in to get j and m equal 29 degrees.  k or L are opposite angles meaning they add up to 180 when added to j and m so j+l=180 or m+k=180