Given:
m∠KLJ = 38°
Let's find the measure of angle JLM.
We have the figure of the rhombus below:
A rhombus has equal opposite angles and consecutive angles sum up to 180 degrees.
Given the diagonal bisect the angles, we have:
m∠KLJ = m∠MLJ = 38°
m∠KLJ + m∠MLJ + m∠JML = 180
Thus, we have:
38 + 38 + m∠JML = 180
76 + m∠JML = 180
Subtract 76 from both sides of the equation:
76 - 76 + m∠JML = 180 - 76
m∠JML = 104°
Therefore, the measure of angle JML is 104 degrees.
ANSWER:
104°