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Funny thing is, I was just asked to do this in my geometry class. And I figured out this method that my teacher had never heard of. Ok, let's say that the five angles are named angles A, B , C, D, and E, going aound counter clockwise. Points ACD form a trinalge, and everybody knows that a triangle forms 180 degrees. But, i problem, you are missing two angles that would complete the triangle. While thinking on this problem last week in my 9th grade geometry class, I realized that the sum of the two missing angles is equivilant to the sum of angles B and E, the two "left over" angles, unused in the triangle. Thus, the sum of all five angles MUST add up to 180 degrees. I went a little farther to figure out why exactly the sum of the two "missing" angles is equal to the sum of angles B and E all the time, no matter how you manipulate it. Let's call the point formed going in towards the center of the triangle formed by angles C and D point F. There are two triangles formed here, triangle FCD and triangle BEF. The foint shared creates two vertical angles, meaning they are equal. Then the "left over" amount of degrees in both triangles has to be the same, proving that the sum of the two missing angles will be equal to the sum of angles B and E. There you go,, PLEASE do not copy this to use on a project. I will hear abput it and just, ...............................................
What else can I help you with?
How many degrees are in a decagon if 3 angles equal 200 degrees?
A decagon will always have its interior angles measure 1480
What do the angles in a hexagon equal?
Interior angles add up to 720 degrees
What is the sum of the interior angLEs of a octagon?
The interior angles for an octagon is 135 degrees each to equal up yo 1080 degrees.Each octagon has to equal up to 1080 degrees.
What is the sum of the interior one interior angle of an undecagon?
Total interior angles 1620o. If all angles are equal they are 147.2727 recurring degrees
How many degrees does a trapezoid have?
A trapezoid's four interior angles equal 360 degrees
Why do the interior angles of a rhombus equal 180?
The interior angles of a rhombus equal 180 degrees because a rhombus is a type of quadrilateral, and the sum of the interior angles of any quadrilateral is always 360 degrees. In a rhombus, opposite angles are equal, and adjacent angles are supplementary, meaning they add up to 180 degrees. Therefore, if you take any two adjacent angles in a rhombus, their sum will always equal 180 degrees.
Do the sum of the interior angles of a triangle always equal 180 degrees?
Yes the 3 interior angles of any triangle always add up to 180 degrees
How many degrees are in a decagon if 3 angles equal 200 degrees?
A decagon will always have its interior angles measure 1480
Are the interior angles of a parallelogram always congruent?
Only if it is a rectangle otherwise it has equal opposite acute angles and equal opposite obtuse angles and the 4 interior angles add up to 360 degrees
Does a rhombus always have 4 equal sides and angles?
It always has 4 equal sides but not 4 equal angles because it has 2 equal opposite acute angles and 2 equal opposite obtuse angles. The 4 interior angles add up to 360 degrees
How much angles do a quadrilateral?
A quadrilateral has a total of four angles. The sum of the interior angles in a quadrilateral is always 360 degrees. Each angle can vary in size, but when combined, they will always equal 360 degrees.
How many interior degrees are in a hexagon?
A hexagon has six equal interior angles and six equal exterior sides. Each interior angle is 120 degrees, making the total internal angles equal to 720 degrees.
What do the interior angles of a quadrilateral equal?
The 4 interior angles add up to 360 degrees
Do quadrilaterals have pairs of equal angles?
Not always but all 4 sided quadrilaterals have 4 interior angles that add up to 360 degrees
What are the interior angles of a parallelogram when two of its angles are 2x and x degrees?
They work out as two equal opposite angles of 120 degrees and two equal opposite angles of 60 degrees.
What is the name of the angles in a pentagon?
The angles in a pentagon are referred to as interior angles. In a regular pentagon, all interior angles are equal, and each measures 108 degrees. The sum of the interior angles of any pentagon is 540 degrees.
What do the angles in a hexagon equal?
Interior angles add up to 720 degrees
