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in the figure below, ( m angle 1 = 87 ^ { circ } ) and ( m angle 2 = 49…

Question

in the figure below, ( m angle 1 = 87 ^ { circ } ) and ( m angle 2 = 49 ^ { circ } ). find ( m angle k j m ).

Explanation:

Step1: Analyze the relationship between angles

From the figure, we can see that \(m\angle KJM=m\angle1 + m\angle2\) (angle addition postulate).

Step2: Substitute the given values

We know that \(m\angle1 = 87^{\circ}\) and \(m\angle2=49^{\circ}\). Then \(m\angle KJM=87^{\circ}+49^{\circ}\).

Step3: Calculate the sum

\(87 + 49=136\).

Answer:

\(136\)