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Answered

For which values of x and y is line p parallel to line q?

X=5,y=3

x=1, y=5

x=3, y=5

x=3, y=6

For which values of x and y is line p parallel to line q? X=5,y=3 x=1, y=5 x=3, y=5 x=3, y=6 class=

Verified Answer :

calculista

Step 1

Find the value of x

we know that

If lines  p and q are parallel

then  

\((45x-5)+(16x+2)=180\°\) ------> by consecutive interior angles

Solve for x

\((45x-5)+(16x+2)=180\° \\61x=180+3 \\x=3\°\)

Step 2

Find the value of y

we know that

If lines  p and q are parallel

then  

\((26y)=(45x-5)\) ------> by corresponding angles

substitute the value of x and solve for y

\((26y)=(45*3-5)\)

\((26y)=130\)

\(y=5\°\)

therefore

the answer is the option

\(x=3\°\) , \(y=5\°\)

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