Geometry help? I have a Test tomorrow.

[Croconaw]

Geometry isn't my strong point. :lol:

http://oi59.tinypic.com/2r77r7r.jpg
It wants me to find Angle XZP. I attempted the problem, but it doesn't look right. I have no idea where I got the 45 from either?
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http://oi61.tinypic.com/2nvdn2u.jpg
How would I even do this? I think it's

180 - 25 divided by 2. (n) :confused:
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http://oi58.tinypic.com/s1ugrq.jpg
Would this be correct?

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Any help would be appreciated. Thanks. :yes:

[MechaSniper]

All triangles are 180 degrees. So try finding what 3 numbers add up to 180.

[Luminous]

So I'm not 100% here, but let me throw this out for the first problem:
If m<XYZ = 26, and m<XZY is a right angle, the two together equal 116 degrees (26+90=116). Since the the full triangle must equal 180 degrees, m<YXZ must equal 64 degrees (use subtraction to find the difference - 180-116=64). Triangle XZP will keep that measurement (of 64) for the same angle, though now I guess called m<PXZ. m<XPZ is a right angle as far as I can tell. Same math as used before. 90+64=154, 180-154=26. Therefore m<XZP = 26 degrees.
I've said it before and I'll say it again, I'm not sure if I got this right, but it's something to think about. That's how I'd attempt it. And yeah I have no idea where you got that 45 from.

[Typhlosion]

Do you want the solution to all of them? If so, here we gooooo......

1) The triangle XYZ has angles 26, 90 and (180-26-90). That means that the angle on X is 64.

Also, YP = YZ, meaning that YPZ is an isosceles triangle. That means that the angles P and Z of the triangle are equal. So, the angles P and Z of triangle YPZ should be (180-26)/2 = 77.

Now we can analyze the triangle PXZ. We know X's angle, 64, and we can also know P's angle, which is 180-77 = 103. So the angle you're looking for is 180-103-64=13!

2) Well that's brain-confusing.

First off, try to interpret the image as only two large isosceles triangles. From there, you'll notice that 25 + 25 + n = 180. Ergo n = 130

Now look at the smaller triangle in the middle, formed by the overlapping of the two bigger triangles. The smaller angles, as we've discovered previously, are 25 each. That makes m = 180 - 25 - 25. m is also equal to 130.

3) Since the triangle is equilateral, x+4 = -2x + 22. From here, we can figure out that x = 6. So each side is (6) + 4 or (-12) + 22 = 10.

16 - (6) = 10
(36) + 5 = 41

So 16-x is the correct answer.

The second part is almost correct, but you forgot to calculate the base. You only found the value of x.

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Hope I helped :D

[Croconaw]

Thanks!

I separated the overlapping triangles on problem two.

25 +25 +n =180
50+n =180
N=130

I got it now, thanks :D

[KansasNavy]

God this reminded me of how much I hate geometry. :P
Unfortunately, I'm in Calculus and it sucks.