Question

3
if l || m, find
the value of y.
$(4x - 50)^circ$
$(2x + 30)^circ$
$y^circ$
a) 70 watching cartoons
b) 110 surfing
c) 40 playing frisbee
d) 65 making pizzas
e) 75 ice skating

Explanation:

Step1: Set angles equal (alternate interior)

$4x - 50 = 2x + 30$

Step2: Solve for x

$4x - 2x = 30 + 50$
$2x = 80$
$x = 40$

Step3: Find adjacent angle to y

Substitute $x=40$ into $2x+30$:
$2(40) + 30 = 110$

Step4: Solve for y (supplementary angles)

$y + 110 = 180$
$y = 180 - 110$

Answer:

A) 70
watching cartoons