Respuesta :

Answer:

m∠MKN = 38°

Step-by-step explanation:

Since, NJ is a diameter of the given circle,

Sum of all angles on the straight line NJ = 180°

m∠MKN + m∠MKL + m∠LKJ = 180°

m∠MKN + 104° + 38° = 180°

m∠MKN = 180° - 142°

              = 38°

Therefore, measure of angle MKN = 38° is the answer.

The value of KMN will be 38°.

It should be noted that the sum of angles on a straight line is 180°.

Therefore, since the angles in the circle are on a straight line, the value of KMN will be found thus:

KMN + 104° + 38° = 180°

KMN + 142° = 180°

KMN = 180° - 142°

KMN = 38°

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