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Find the values of x and y. The diagram is not to scale.
A. x = 68, y = 75
B. x = 75, y = 68
C. x = 40, y = 68
D. x = 75, y = 70

Find the values of x and y The diagram is not to scale A x 68 y 75 B x 75 y 68 C x 40 y 68 D x 75 y 70 class=

Respuesta :

katelynnthorp33
Im pretty sure the answer is B

calculista

Step 1

Find the value of x

we know that

[tex](x-1)\°=74\°[/tex] -------> by corresponding angles, because the given lines are parallel

Solve for x

[tex](x-1)\°=74\°\\x=74+1 \\ x=75\°[/tex]

Step 2

Find the value of y

we know that

[tex](x-1)+40+(y-2)=180[/tex]

substitute the value of x and solve for y

[tex](75-1)+40+(y-2)=180[/tex]

[tex]74+40-2+y=180[/tex]

[tex]112+y=180[/tex]

[tex]y=180-112[/tex]

[tex]y=68\°[/tex]

therefore

the answer is the option B

[tex]x=75\°, y=68\°[/tex]

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