Question

I don't understand this question can someone help me break it down?

Answer 1

Answer:

y = 52

x = 30

Step-by-step explanation:

Hi!

Y is a vertical angle. See <DOB? That's it's vertical pair. So, y = 2x - 8 [vertical angles are congruent].

Now, to find y, we need x. We can find x by using the fact that AB is a straight line. The angles on a straight line add up to 90.

Given the fact that <AOB is 90 degrees, <EOB also has to be 90 degrees.

So, EOB = 90 degrees. Remember that an angle is equal to the sum of the measures of the angles that it is made of.

EOB is therefore equal to <EOD + <DOB.

90 = <EOD + DOB

90 = (x +8) + (2x-8)

90 = 3x

x = 30

Check:

38 + 52 = 90.

So, x = 30

Now, we go back to find y.

y = 2x-8

y = 52