Question

1. note: j ||k and l ||m (15y - 48)° (2x - 1)° (11x - 25)° j k l m

Explanation:

Step1: Find the value of \(x\)

Since \(j\parallel k\) and \(l\parallel m\), \((2x - 1)^{\circ}=(11x - 25)^{\circ}\) (corresponding angles).

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Step2: Find the value of \(y\)

Since \(j\parallel k\) and \(l\parallel m\), \((15y - 48)^{\circ}=(2x - 1)^{\circ}\) (corresponding angles). Substitute \(x = \frac{8}{3}\) into \(2x-1\): \(2\times\frac{8}{3}-1=\frac{16}{3}-1=\frac{13}{3}\). Then \(15y-48=\frac{13}{3}\).

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Answer:

\(x=\frac{8}{3}\), \(y = \frac{157}{45}\)