Question

If XYZ is an isosceles triangle with base XZ , what is the measure of X?
(picture below)

Answer 1

It will be the same as angle y which is 180 - 86 = 94

Answer 2

If XZ is the base, wouldn't that mean that x and z have the same angles and y would have a different angle?

Answer 3

You are right. I am not sure, but when I started doing the problem, I thought the student left out exactly what the base was and I guessed at what I thought he intended the base to be. Either I misread the problem initially or the problem was corrected after I posted my answer.

Answer 4

I have no idea either, I was just making sure

Answer 5

86/2 = to the base angles

Answer 6

therfore x=86/2 hope I am correct

Answer 7

In either case, the angle would be (with the problem as stated):

(1/2)(180 - 94) = (1/2)(86) = 43. Yes, confirming @heedcom 's answer.

Answer 8

its 43

Answer 9

So @brianAC. what you want to do is determine what angle y is.

And since we know angle x = angle z (by virtue of it being an isosceles triangle), you can set up an equation:

x + y + z = 180

or, equivalently,

y + 2x = 180

This will help you solve for x.