Can anyone me out here? 30 points for anyone that can give me the answer and explain how they got

Step-by-step explanation:

I'm just as confused

Hello from MrBillDoesMath!

x = 16, y = 20

Discussion:

Assuming the lines shown are parallel, corresponding angles are equal which gives:

6x + y =   x + 5y       =>           (subtract "y" from each side)

6x = x + 4y              =>            (subtract "x" from each side)

5x = 4y                   (A)

As there are 180 degrees in a line we also have

4x + (6x + y) = 180  =>

10x + y = 180           =>            (subtract 180 from each side)

y = 180 - 10x

y = 180 - 2 *(5x)      =>            (Using (A) above )

y = 180 - 2(4y)        =>            (Add 8y to each side)

y + 8y = 180            =>

9y       = 180            =>

y = 180/9 = 20

As 5x = 4y, 5x = 4(20), or 5x = 80, or x = 80/5 = 16

Thank you,

MrB

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.