High School

Find the values of x and y. The diagram is not to scale.

A.) x=60, y=83

B.) x=83, y=60

C.) x=83, y=62

D.) x=42, y=60

Find the values of x and y The diagram is not to scale A x 60 y 83 B x 83 y 60 C x

Answer :

Answer:

[B] x = 83, y = 60

Step-by-step explanation:

Find the value of x

we know that

[tex](x-3)=80[/tex] -------> by corresponding angles, because the given lines are parallel

Solve for x

[tex](x-3)=80[/tex]

[tex]x=80+3[/tex]

[tex]x=83[/tex]

Find the value of y

we know that

[tex]x-3+42+(y-2)= 180[/tex]

substitute the value of x and solve for y

[tex]83-3+42+(y-2)= 180[/tex]

[tex]80+42-2+y=180[/tex]

[tex]120+y=180[/tex]

[tex]y=180-120[/tex]

[tex]y=60[/tex]

Therefore, the answer is [B] x = 83, y = 60

[RevyBreeze]

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