△JKL is a right triangle, and △JML is an isosceles triangle where JL¯¯¯¯¯≅ML¯¯¯¯¯¯. Which is the measure of ∠KLM?

In triangle JKL, the measure of angle KLM is the same as the measure of angle L in triangle JML.
In a right triangle, the angle opposite the hypotenuse is called the right angle. So in triangle JKL, angle K is the right angle. Since triangle JML is an isosceles triangle with JL congruent to ML, angles J and L are congruent to angles JKL and JKM (respectively) since they are opposite congruent sides. Therefore, in triangle JML, angle L is congruent to angle KLM. So the measure of angle KLM is the same as the measure of angle L in triangle JML.
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