Question

12 find the value of x and y.
$(3x + 7)^circ$
$(y + 75)^circ$
$(5x - 35)^circ$
$(3y + 5)^circ$
$x = $
$y = $

Explanation:

Step1: Set equal vertical angles for x

$3x + 7 = 5x - 35$

Step2: Solve for x

$3x - 5x = -35 - 7$
$-2x = -42$
$x = \frac{-42}{-2} = 21$

Step3: Set supplementary angles for y

$(y + 75) + (3y + 5) = 180$

Step4: Simplify and solve for y

$4y + 80 = 180$
$4y = 180 - 80$
$4y = 100$
$y = \frac{100}{4} = 25$

Answer:

$x = 21$
$y = 25$