Problem

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

Solution

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 :\(x = 30\)

From Solvely APP
Source: https://solvelyapp.com/problems/41612/

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