Answer: x = 6
Step-by-step explanation:
Looking at triangle DEF,
Sum of the angles in the triangle is 180 degrees. This means that
Angle D + angle E + angle F = 180 degrees. Therefore
Angle E + 60 + 42 = 180
Angle E + 102 = 180
Angle E = 180 - 102 = 78 degrees
Looking at triangle JLK,
Angle K = 180 - (angle J + angle L)
Angle K = 180 - (60 + 78) = 180 - 138 = 42 degrees.
It means that
Triangle DEF is congruent to triangle JLK because the angles are equal. It also means that the sides are equal. Therefore,
x =JK = DF = 6
