For quadrilateral JKLM, shown below,
\( \mathrm{m} \angle \mathrm{KLM}=(2 x)^{\circ} \) and \( \mathrm{m} \angle \mathrm{LMJ}=(4 x)^{\circ} \).
What is the value of \( x \) ?
15
30
60
75

Answer

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Answer

\(x = 30\)

Steps

Step 1 ：\(\mathrm{m}\angle\mathrm{KLM} + \mathrm{m}\angle\mathrm{LMJ} = 180^{\circ}\)

Step 2 ：\(2x + 4x = 180\)

Step 3 ：\(6x = 180\)

Step 4 ：\(x = 30\)