## brianAC. 2 years ago If XYZ is an isosceles triangle with base XZ , what is the measure of X? (picture below)

1. brianAC.

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2. tcarroll010

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

3. LogicalApple

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

4. tcarroll010

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.

5. LogicalApple

I have no idea either, I was just making sure

6. heedcom

86/2 = to the base angles

7. heedcom

therfore x=86/2 hope I am correct

8. tcarroll010

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.

9. brianAC.

its 43

10. LogicalApple

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.