Question

in the rectangle below, what is x?

Answer 1

See
http://www.mathopenref.com/rectanglediagonals.html

You can show that you have an isosceles triangle with a base angle of 33º
that means the other angle is 33,
also, the 3 angles must add up to 180 degrees
x + 33 + 33 = 180

Answer 2

@jim_thompson5910
Oh okay and you basically subtract 180 -33-33 @phi ? :)

Answer 3

yes, that will work

Answer 4

okay so I dubtracted and I got 144 :) Is that correct?

Answer 5

LOL *subtracted

Answer 6

*114

Answer 7

144+33*2=210

you need a better calculator

Answer 8

so it's 210?

Answer 9

yes, 114+33*2= 180, so 114 is the answer

Answer 10

Don't get confused, the 210 came from checking your first answer of 144. You want the 3 angles to add up to 180, but they added up to 210 when you set x=144. So that is not the answer

Your 2nd answer x=114 works: 114 + 33 +33 =180, and all 3 angles in your triangle add up to 180.