Given: klmn is a rectangle m∠nkm = 58° mp −∠ bisector of ∠kml find: m∠kpm

According to the rule of angles and parallel lines, we can say that ∠NKM and ∠KML are equal because they are alternate angles. Since MP is a bisector, ∠KMP = ∠LMP = 1/2∠NKM = 29°. We know that ∠MKL = 90°-∠NKM = 32°. According to the sum of all angles of the triangle, ∠KPM = 180-(32+29) = 119°.

You can find the area of a rectangle by multiplying the length and height. so multiply 1/2*7/4(which is the simpler version of 1 3/4) and you get 7/8 as your answer.