Question

Given: KLMN is a rectangle m∠NKM = 58° MP −∠ bisector of ∠KML Find: m∠KPM

Answer 1

119 degrees. 32+29=61      180-61=119 degrees

Answer 2

We have a rectangle and according to the properties of the rectangle ∠LMK=∠NKM=58°. And since we have a bisector ∠KPM=∠LMP=29°. 
∠PKM=90-58=32°. Then ∠KPM=180-(29+32)=119°.