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The best way is to start with a square. Every angle in a square is 90. if you add them up, you get 360 degrees. A triangle can be made by making a diagonal in the square. Since it is a square, the opposite angles are bisected, so you have one 90 degree angle, and 2 - 45 degree angles. Add them up: 90 + 45 + 45 = 180. Move on to a rectangle. Same 4 90 degree angles. Make a diagonal. Since the opposite sides of a rectangle are parallel, the diagonal creates opposite interior angles, which are congruent. The two angles created by the diagonal on each corner also add to 90. Thus, inside your triangle, you have the right angle, one angle a, and the other is the complimentary angle 90 - a. Add these up and you get 90 + a + (90 - a) = 90 + 90 + a - a = 90 + 90 = 180. Using this logic, it is similar for a parallelogram (which defines all triangles), and now you have all angles of a triangle sum to 180 degrees. If this is confusing, just go with it.
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In a quadrilateral the sum of all four angles equals?
In a quadrilateral the sum of all four angles equals 360º.
How do you find the area of a triangle if you know the length of all three sides?
The area of a triangle (At) is one half the length of the base (b) times the height (h).Atriangle = 0.5bhThe height of a triangle is the length of the line drawn perpendicular (at right angles to) to the base from the angle opposite the base.
Do all triangles equals 180?
A triangle doesn't equal 180, but the sum of the internal angles of every triangle equals 180 degrees.
What does the quadrilateral equals in degrees?
The sum of all inside angles of a quadrilateral equal 360 degrees.
How many right angles in a pentagon?
A pentagon can have anywhere from none to three right angles. For a pentagon to have any right angles however, it has to be uneven, because the sum of all interior angles of a pentagon always equals 540 degrees.
In a quadrilateral the sum of all four angles equals?
In a quadrilateral the sum of all four angles equals 360º.
The angles of all triangles equals how many degrees?
180
How many sides does a polygon have if the sum of its interior angles is equal to the sum of its exterior angles?
The sum of the exterior angles of all polygons equals to 360⁰.Since only the sum of the interior angles of all quadrilaterals equals to 360⁰, the polygon must have 4 sides.
What shape equals 360 degrees?
The exterior angles of polygons equal 360 degrees.
How do you find the area of a triangle if you know the length of all three sides?
The area of a triangle (At) is one half the length of the base (b) times the height (h).Atriangle = 0.5bhThe height of a triangle is the length of the line drawn perpendicular (at right angles to) to the base from the angle opposite the base.
What if the sum of two angles of a triangle equals 120 degrees the third angle is 60 degrees because the sum of all angles in a triangle equals 180 degrees?
Yes the 3 interior angles of any triangle always add up to 180 degrees.
Do all triangles equals 180?
A triangle doesn't equal 180, but the sum of the internal angles of every triangle equals 180 degrees.
What is the sum of an obtuse triangle?
The sum of all angles in any type of triangle equals 180'
What does the quadrilateral equals in degrees?
The sum of all inside angles of a quadrilateral equal 360 degrees.
How many right angles in a pentagon?
A pentagon can have anywhere from none to three right angles. For a pentagon to have any right angles however, it has to be uneven, because the sum of all interior angles of a pentagon always equals 540 degrees.
A Quadrilateral that has 3 acute angles?
Yes you just have to make sure it all equals to 180 degrees
What do all the angles in a octagon add up too?
All of the angles in an octagon add up to 810 degreesIf you want to know what one of the angles equals you do 810 divided by 6 to get 135Another contributor's answer:An octagon is an eight sided polygon.Interior angles total 1080 degrees.Exterior angles total 360 degrees.
