Answer :
Final answer:
The measure of ∡QKP in the rhombus MNPQ is 34 degrees, as it is the complement to m∡MQP at the point K where diagonal MP bisects the angle MQP.
Explanation:
The question involves finding the measure of ∡QKP in rhombus MNPQ where the diagonals MP and NQ intersect at point K, and we are given m∡MQP = 56°. Remember that the diagonals of a rhombus bisect each other at 90 degrees and bisect the angles they connect to. Since MQP and QKP together form one of the angles bisected by MP, their measures must add up to 90 degrees if K is the midpoint of MP. Therefore, if m∡MQP is 56 degrees, then m∡QKP will be 90 - 56 = 34 degrees, as it is the complement of m∡MQP at point K.
