find the value of the variable plz help

Answer:
Step-by-step explanation:
Vertically opposite angles are equal.
8y + 36 = 14y -24 Subtract 36 to both sides
8y = 14y - 24 - 36 Combine
8y = 14y - 60 Subtract 14y from both sides
8y - 14y = - 60
-6y = -60 Divide by - 6
-6y/-6 = -60/-6
y = 10
===========================
x +48 = 64 Subtract 48 from both sides
x +48 - 48 = 64-16
x = 16
Answer:
x = 16
y = 10
Step-by-step explanation:
*first of, we know that one angle is 64 degrees, which means the opposite side is also 64 degrees
we can find x by the following formula:
⇒ 64 = 48 + x
then subtract 48 on both sides:
⇒ 64 - 48 = 48 - 48 + x
⇒ 16 = x
we now know that two of the angles are 64 degrees, this means that the other two angles add up to 116 degrees (180 - 64 = 116)
with this being said, lets talk a look at (8y + 36)
we can solve y from the following equation:
⇒ 116 = 8y + 36
first, subtract 36 on both sides
⇒ 116 - 36 = 8y + 36 - 36
⇒ 80 = 8y
then divide 8 on both sides
⇒ [tex]\frac{80}{8} = \frac{8y}{8}[/tex]
⇒ 10 = y