This question is based on calculation of angles. Thus, the measurement angle LKJ is 64 degrees and measurement angle J =42 degrees.
Given:
If measurement angle L = 58 and angle JKM = 48 .
We need to determined the angle LKJ and angle J.
According to question,
From the figure it is observe that,
KJ = KL (sides are the same)
Because, the sides are the same and it is given that angle L = 58, that means angle J is also 58.
Now, calculating the angle LKJ.
We get,
180-58-58 = 64 degrees
Angle LKJ = 64 degrees
It is given that angle JKM = 48, M = 90
We know that, the sum of the angles of triangle is 180 degree.
Therefore, angle J = 180 -90 -48 = 42 degrees
Thus, the measurement angle LKJ is 64 degrees and measurement angle J =42 degrees.
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https://brainly.com/question/25638314
