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

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tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.0It will be the same as angle y which is 180  86 = 94

LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.0If XZ is the base, wouldn't that mean that x and z have the same angles and y would have a different angle?

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.0You 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.

LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.0I have no idea either, I was just making sure

heedcom
 2 years ago
Best ResponseYou've already chosen the best response.086/2 = to the base angles

heedcom
 2 years ago
Best ResponseYou've already chosen the best response.0therfore x=86/2 hope I am correct

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.0In either case, the angle would be (with the problem as stated): (1/2)(180  94) = (1/2)(86) = 43. Yes, confirming @heedcom 's answer.

LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.0So @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.
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