Question

In kite JKLM , MJ=JK and ML=KL . Diagonals JL¯¯¯¯¯ and MK¯¯¯¯¯¯¯ intersect at point P, m∠MLK=48∘ , and m∠JKM=30∘ . What is m∠JML ?

Answer 1

96°

Explanation:

ΔKLM is isosceles, so base angle KML will be half the supplement of ∠MLK, or ...

.... ∠KML = (180° -48°)/2 = 66°

ΔKJM is also isosceles, so base angle JMK will be the same measure as ∠JKM, 30°.

∠JML = ∠JMK + ∠KML = 30° +66°

∠JML = 96°