Question

(d) problem 19: (first taught in lesson 31)
find x and y.
(3x + 6)°
2y°
48°
(5y - 9)°
after you enter your answer press go.
x =
y =

Explanation:

Step1: Use angle - relationship for $y$

$2y+(5y - 9)=90$ (complementary angles)
$2y+5y-9 = 90$
$7y=90 + 9$
$7y=99$
$y = 11$

Step2: Use angle - relationship for $x$

$3x+6=48$ (alternate - interior angles)
$3x=48 - 6$
$3x=42$
$x = 14$

Answer:

$x = 14$, $y = 11$