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What is the mathematical reason for why the angels in a triangle add upp to 180?
Wiki User
∙ 14y ago
First draw a triangle with vertices A, B, and C. Let's let C be at the top and B and A the base of the triangle. A' and B' are on the line drawn parallel to the base and through point vertex C. Place A' on the right of C and B' on the left of C. Of course it works for any triangle, but I am trying to make the picture easy so then you can generalize.
if ABC is a triangle then <)ABC + <)BCA + <)CAB = 180 degrees
Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'.
It is clear that <)B'CA + <)ACB + <)BCA' = 180 degrees.
So we conclude: <)ABC + <)BCA + <)CAB = 180 degrees.
Wiki User
∙ 14y ago
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How many angels are there in a triangle?
There are 3 angles in a triangle that add up to 180 degrees.
Why do the angels of triangle add up to 180 degrees?
Because a triangle is half of a square or rectangle. Since there are 360 degrees in all the angles of a square, there will be 180 degrees in a triangle.
How many angels does an equilateral triangle have?
An equilateral triangle has 3 equal inside angles that add up to 180 degrees.
What are the measures of the interior angels of a triangle that has three acute congruent angels?
The three interior angles of every triangle always add up to 180 degrees. If all of them are the same measure, then each one must be 180/3 = 60 degrees.
What is the difference in degrees between the total of all angles in a triangle compared with the total of angels in a square?
there are 360 in a square and 180 in a triangle
What is the sum of the angels in the triangle?
180 degrees
How many angels are there in a triangle?
There are 3 angles in a triangle that add up to 180 degrees.
What do the interior angels of a triangle add up to?
180 degrees
How many angels does a triangle have?
A triangle has 3 interior angles that add up to 180 degrees.
Why do the angels of triangle add up to 180 degrees?
Because a triangle is half of a square or rectangle. Since there are 360 degrees in all the angles of a square, there will be 180 degrees in a triangle.
Can a triangle have a straight angle?
If you mean by straight angel an angel of magnitude 180 degrees, then the answer is no. The sum of the three interior triangle angels is 180 and not only a single angel.
How many angels does an equilateral triangle have?
An equilateral triangle has 3 equal inside angles that add up to 180 degrees.
What are the measures of the interior angels of a triangle that has three acute congruent angels?
The three interior angles of every triangle always add up to 180 degrees. If all of them are the same measure, then each one must be 180/3 = 60 degrees.
How many deegrees are in the sum of the angels in a triangle equal?
The 3 interior angles of any triangle add up to 180 degrees
How many degrees do the internal angels of a triangle have in total?
The internal angles of a triangle can be added together to make 180 degrees in total.
What is the difference in degrees between the total of all angles in a triangle compared with the total of angels in a square?
there are 360 in a square and 180 in a triangle
Why the equilateral triangle an acute angels?
the three corners of a triangle always equal 180° , so the angles have to be 60 ° and 60 is an acute angle.
