Find the value of x and y

x=16, y=10

Step-by-step explanation:

To find the value of x and y, we need to know the angle properties. We know that 8x-14 and 5x+34 are equal to each other because of Alternate Exterior Angles. Now, we also know that 8x-14 and 5y+16 are supplementary angles, meaning they are equal to 180°. To solve, let's first find the value of x.

8x-14=5x+34                [subtract both sides by 5x]

3x-14=34                      [add both sides by 14]

3x=48                           [divide both sides by 3]

x=16

Now that we know x=16, we can find the value of y.

8x-14+5y+16=180        [plug in x=16]

8(16)-14+5y+16=180    [multiply]

128-14+5y+16=180      [combine like terms]

130+5y=180                 [subtract both sides by 130]

5y=50                           [divide both sides by 5]

y=10

Now, we know that x=16 and y=10.