Question

(d) problem 19: find x and y. after you enter your answer press go. x = y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So $2y+(5y - 9)=90$ (since the right - angled corner implies the sum of these two non - overlapping angles is 90 degrees).
$2y+5y−9 = 90$
$7y=90 + 9$
$7y=99$
$y = 11$

Step2: Use alternate - interior angles property

Alternate interior angles are equal. So $3x+6=48$
$3x=48 - 6$
$3x=42$
$x = 14$

Answer:

$x = 14$, $y = 11$