How Many Degrees???

Question

How many degrees are there in a triangle????

Answer 1

A basic fact of geometry that we should all memorize:

The interior angles of a triangle add up to 180°.

(And you should be able to deduce that the interior angles of a quadrilateral add up to 360°, the interior angles of a pentagon add up to 540°, the interior angles of a hexagon add up to 720°, etc. That's because a quadrilateral can be split into 2 triangles, a pentagon into 3 triangles, etc. In general a n-gon can be split into n-2 triangles for a sum of (n-2)*180°, but this is all more than you asked...)

Answer 2

I believe the equation for the sum of the interior angles of a polygon is:
180 degrees per corner - 360 degrees

for a triangle: 180 degrees

Square: 360 degrees

etc.

Answer 3

The sum of all interior angles of any triangle ABC(except those composed of curved sides) is 180 degrees. To see it yourself, simply draw a line DE through one of the three points (say A) and parallel to the opposite base BC; A should be between D and E. With the alternation rule in regards to angles on opposite ends of a line crossing two parallel lines, you can determine that:

Angle DAB = Angle ABC

and

Angle EAC = Angle ACB

Since Angle DAB + Angle BAC + Angle EAC = flat line = 180 degress, by replacing this equation with the two above it, you have:

Angle ABC + Angle BAC + Angle ACB = 180!!

Answer 4

any triangle, whether it's a right, acute, obtuse, equilateral, or equiangular triangle, constitutes 180 degrees. meaning the total angles or the sum of the angles is always equal to 180 degrees.

Answer 5

Sum of all interior angles is 180 degrees

Answer 6

180 degrees

Answer 7

3 at 45 each

Answer 8

3 angles... 45 degrees in each angle.