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when i say triangle it stands for that symbol that looks just like a triangle .. lol .. please help..

triangleXYZ, <1, <2, and <3 are exterior angles with vertices at X, Y and Z, respectively. The sum of the measures of <1, <2, and <3 is equal to
a. 90
b. 180
c. 270
d. 360

2007-10-25 07:23:49 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

6 answers

In any polygon (not just a triangle), the exterior angles always add up to 360 degrees. This is true in a triangle since it is a 3-sided polygon.

The following link gives more information.

2007-10-25 07:28:00 · answer #1 · answered by Puzzling 7 · 0 0

You can easily derive it.
x+y+z = 180, angle sum theorem for a triangle.
(180 - <1) + (180 - <2) + (180 - <3) = 180
<1 + <2 + < 3 = 540 - 180 = 360
Therefore, the answer is d. 360

2007-10-25 07:34:15 · answer #2 · answered by sahsjing 7 · 1 0

d. 360.
There is a theorem that states the sum of the exterior angle of a triangle = 360.

2007-10-25 07:28:12 · answer #3 · answered by RickSus R 5 · 0 0

360

2007-10-25 07:37:13 · answer #4 · answered by Hiker 4 · 0 0

360.
Please refer to the link of answer no. 1. The basic formula is there.

2007-10-25 07:34:47 · answer #5 · answered by Angelina 2 · 0 0

it is c.180

2007-10-25 07:36:20 · answer #6 · answered by smart 2 · 0 0

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