Question

Please help me ASAP!!!! I'm really confused. I will award brainliest!!

Answer 1

Answer:

X=18.5

Y=37

Step-by-step explanation:

DOB=16° because it's a vertical pair. Because COF is 90°, that means 4x+16 is also 90.

4x+16=90, subtract 16

4x=74, divide by 4

x=18.5

Because EOA is 90°, and you know DOB is 16°, you can set 2y+16 equal to 90 as well.

2y+16=90, subtract 16

2y=74, divide by 2

y=37

Answer 2

Answer:

$x=18.5\°$ and $y=37\°$

Step-by-step explanation:

Givens:

• AB and CD are straight lines. Which means all angles on those lines must sum 180°.

$\angle AEO = 90\°, \angle AOC = 16\°, \angle FOB = 4x, \angle COF = 90\°$, by given.

Now, $16\° + 90\° + 2y=180\°$, by defintion of straight lines and supplementary angles.

Then, we solve for $y$

$2y=180-106\\y=\frac{74}{2}\\ y=37\°$

Now,

$\angle BOD = \angle AOC = 16\°$, by vertical angles definiton.

Then,

$90\°+4x+16\°=180\°$, by defintion of straight lines and supplementary angles.

Then, we solve for $x$

$4x=180-106\\x=\frac{74}{4} =18.5\°$

Therefore, the solutions are $x=18.5\°$ and $y=37\°$