Question 1014023
Good description (but points should be named with upper-case letters).  The triangles being similar means that corresponding angles are congruent.  This means measure of angle K equal measure of angle N.


Also, sum of interior angle measures of a triangle is 180 degrees.
{{{measOfAngleK+50+40=180}}}
Angle K's measure is 90 degrees.
Measure of angle N is also 90 degrees, both because similarity of the triangles as well as sum of measures be 180 degree.