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
\(x=75\°, y=68\°\)
