Question

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

Answer 1

[B] x = 83, y = 60

Explanation:

Find the value of x

we know that

`(x-3)=80` -------> by corresponding angles, because the given lines are parallel

Solve for x

`(x-3)=80`

`x=80+3`

`x=83`

Find the value of y

we know that

`x-3+42+(y-2)= 180`

substitute the value of x and solve for y

`83-3+42+(y-2)= 180`

`80+42-2+y=180`

`120+y=180`

`y=180-120`

`y=60`

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

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