Question

in the figure below, l || m. find the values of y and x.

x=

y=

Explanation:

Step1: Find the value of \( y \)

Since \( l\parallel m \), \( y = 63^{\circ} \) (alternate - interior angles are equal).

Step2: Find the value of \( x \)

We know that \( (5x - 63)^{\circ}+y^{\circ}=180^{\circ} \) (linear - pair of angles).
Substitute \( y = 63^{\circ} \) into the equation:

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Answer:

\( x = 36 \), \( y = 63 \)