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

Question

asked Feb 20, 2017 189k views

2 Answers

Ian Knight · Answer 1 · 2017-02-25T08:16:52+0000

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

$x=3\°$ ,
$y=5\°$