how would you find this angle measure

Question

In a rhombus JKLM || ___  ____ ||  ____

                                       ML   LK.       MJ

AND M< L= 57°

find m< k, m< j , and m< M 

 

Answer 1

In a rhombus opposite angles are congruent, therefore m∠j = m∠m = 57°

In a rhombus adjacent angles are supplementary, therefore m∠k = 180° - 57° = 123°

m∠m (opposite ∠k) = 123º