Question

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

Answer 1

Im pretty sure the answer is B

Answer 2

Step 1

Find the value of x

we know that

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

Solve for x

`(x-1)\°=74\°\\x=74+1 \\ x=75\°`

Step 2

Find the value of y

we know that

`(x-1)+40+(y-2)=180`

substitute the value of x and solve for y

`(75-1)+40+(y-2)=180`

`74+40-2+y=180`

`112+y=180`

`y=180-112`

`y=68\°`

therefore

the answer is the option B

`x=75\°, y=68\°`