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

JKL is a right triangle and JML is an isosceles triangle where JL ML Which is the measure of KLM

Answer :

Okay so we know angle JLK= 42+90-180 which equals 48. We know this because the angles of a triangle added together equal 180. We also know angle LMJ=63 since it’s an isosceles triangle so that mean angle MLJ equals (63+63-180=) 54 and to find the measure of angle KLM we add the measure of JLK and MLJ which gives us 48+54=102. So 102 is the answer. Hope this helps

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Rewritten by : Barada

Final answer:

In triangle JKL, the measure of angle KLM is the same as the measure of angle L in triangle JML.

Explanation:

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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