We can find this using the laws about angles and lines. One of these says that the sum of 2 angles on a straight line will always equal 180°. Therefore, we can just form the equation using the m∠IJE+m∠EJK=180. Once we find the value of x, we can substitute that in for the equation of m∠EJK. m∠IJE+m∠EJK=180 60+31x-4=180 56+31x=180 -56 -56 31x=124 /31 /31 x=4 As we said earlier, we need to substitute the value of x in for the equation. 31x-4 31(4)-4 124-4 120 Using the logic above, we can see that the m∠EJK=120°.
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