Question

Find the missing values of the variables.

Answer 1

"y" and the angle whose measure is 116 are supplementary angles because when you add their measures, they make up a straight line and the angle measure for a straight line is 180. So,

y + 116 = 180

So, you can get the measure of angle "y".

Now, for the quadrilateral, all the angles will add to 360. You now know the measure of 3 of the angles, so you can get the measure of angle "x".

Answer 2

x = 360 - 125 - 72 - y

And you know "y" from my first post.

Answer 3

so why is 72 not apart in figuring out what 'y' is when it is on the same line. or is it the measurement of the angle?

Answer 4

My last equation can also be written as :

x = 360 - (125 + 72 + y)

and it might be better understood that way.

Answer 5

You can't use 72 directly because the angle is formed by the intersection of a different line segment with the horizontal than the line segment intersecting with the horizontal forming "y".

Answer 6

oh ok. Well thank you so much for your help. :D

Answer 7

You're welcome!