Question

directions: if ( lparallel m ), solve for ( x ) and ( y ).

Explanation:

Step1: Use corresponding - angles property for x

Since \(l\parallel m\), corresponding angles are equal. For the x - related angles in problem 9, we have \(13x - 19=9x + 25\).

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Step2: Use corresponding - angles property for y in problem 9

For the y - related angles in problem 9, we use the fact that corresponding angles are equal. So \(17y+5=(13x - 19)\). Substitute \(x = 11\) into the equation: \(17y+5=13\times11-19\).

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Step3: Use corresponding - angles property for x in problem 10

Since \(l\parallel m\), corresponding angles are equal. So \(3x-29=6x - 7\).

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Step4: Use corresponding - angles property for y in problem 10

For the y - related angles in problem 10, we have \(8y + 17=3x-29\). Substitute \(x=-\frac{22}{3}\) into the equation:

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In problem 9:

Answer:

\(x = 11,y = 7\)
In problem 10:
\(x=-\frac{22}{3},y =-\frac{17}{2}\)