Question

Find the value of the variable plz help

Answer 1

x = 16

y = 10

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

⇒
`(80)/(8) = (8y)/(8)`

⇒ 10 = y

Answer 2

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