Hagrid
contestada

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 X5y3 x1 y5 x3 y5 x3 y6 class=

Respuesta :

calculista

Step 1

Find the value of x

we know that

If lines  p and q are parallel

then  

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

Solve for x

[tex](45x-5)+(16x+2)=180\° \\61x=180+3 \\x=3\°[/tex]

Step 2

Find the value of y

we know that

If lines  p and q are parallel

then  

[tex](26y)=(45x-5)[/tex] ------> by corresponding angles

substitute the value of x and solve for y

[tex](26y)=(45*3-5)[/tex]

[tex](26y)=130[/tex]

[tex]y=5\°[/tex]

therefore

the answer is the option

[tex]x=3\°[/tex] , [tex]y=5\°[/tex]

Otras preguntas