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

Question

asked Nov 5, 2017 52.2k views

2 Answers

MunHunger · Answer 1 · 2017-11-12T04:36:34+0000

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

$x=75\°, y=68\°$