Question

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

Answer 1

Answer: the 3&5 one is correct

Explanation:

got 100% on the test

Answer 2

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\°`