what is a consecutive interior angle?
814088
Consecutive interior angles may be defined as two interior angles lying on the same side of the transversal cutting across two parallel lines.\n\nGo to the site there is a diagram showing you what I just told you.
858717
oblique, obilisque shape
104914
Huh? 360 degree IS an angle.
186903
the measure of the interior angle for a polygon is =(n-2)*(180)/n\n\nso you put 150 = (n-2)*(180)/n\nyou get (5/6)n - n + 2 = 0\nn = 12\n\nyou have 12 sides
727013
Given the parallelogram ABCD with angle A supplementary to angle B, and angle C supplementary to angle B.\n\nSince angle A supp to angle B, then AD parallel to BC because the interior angles on the same side of the transversal are supplementary.\n\nSimilarly, since angle C supp to angle B, then AB parallel to DC because the interior angles on the same side of the transversal are supplementary.\n\nTherefore ABCD is a parallelogram by definition.\n\nQ.E.D.
1139471
Yeah where's angle 1 and 2.\nBut remember the angle opposite the longest side has the greastest measurement.
1073101
diagram it out\n\nFOIL  First  Outer Inner Last
661088
If the sides are parallel then these angles will be equal.
418236
Formula for sum of internal angles is 180*(n-2)\n\n(n-2) * 180 = 1260\n\n(n-2) = 7\n\nn = 9\n\nANSWER : c) 9
858028
Angles that are formed when parallel lines have a common intersecting line  (this intersecting line referred to as a transversal) Corresponding angles formed will have the same measure,alternate exterior angles formed, as well asalternate interior angles formed by the same transversal shall also be of the same measure. draw two parallel lines cross them both with a tranverse line at 45 degrees and you will be amased that all the corresponding angles will be 45 degrees. Simply mind bogling isn't it.
493884
In any quadrilateral the sum of the angles is 360 degrees.  Its an axiom that has been proven.  It's similar to the axiom that all angles in a triangle add up to 180.\n\nNote: the pattern is:\n3 angles = 180\n4 angles = 360\n5 angles = 540\n6 angles = 720\n7 angles = 900\netc.\n\nAnother fact about parallelograms is that the opposite sides have the same lengths and the opposite angles have the same measure.  This also means that two consecutive angles will add up to 180 (since the other pair must be equal and the total must be 360, as noted before).
794240
Let n = number of sides = 5\n\nSum of the interior angles = (n - 2) * 180° = 540°\n\nThis comes from the fact that a triangle has angles adding to 180°, a square has angles adding to 360°, a pentagon has angles adding to 540°, etc.  Each time you add a side, you add another 180 degrees.\n\nHowever there are no 1 sides or 2 sided figures, so you have to subtract 2 from the sides, before multiplying.\n\nThe general formula for an n-sided polygon is:\n(n - 2) * 180°
1051814
An *exterior* angle for a polygon is formed by extending one side of the polygon from one if its endpoints. The exterior angle and interior angle are therefore supplementary. If you extend each side of a polygon to form one exterior angle at each vertex, you get a set of exterior angles as shown in the attached diagram.\nhttp://www.geom.uiuc.edu/~dwiggins/pict09.GIF\n\nBe careful because some people have a mistaken definition of exterior angles and assume it is the full obtuse angle, but it isn't.\n\nBy theorom, the exterior angles in a convex polygon always add up to 360 degrees.  A regular 10-sided polygon is one example of a convex polygon, so its exterior angles would also add up to 360 degrees.  Because all the angles are equal in a regular polygon you would have:\n\n360 / 10\n= 36 degrees\n\nSo with a regular decagon (10-sided polygon), each exterior angle would be 36 degrees.
427439
210 \n The sum of interior angles of a polygon (sides-2)*180.\nfor 12 sided it's (12-2)*180=1800.\n\nFor a regular 12 sided polygon, each interior angle is 1800/12=150, so the exterior angle is 360-150= 210
932598
The exterior angle is equal to the sum of the two interior angles.  So 18+98=116, your answer should be 116.  I'm assuming that the exterior angle is supplementary to angle 3, not angle 1 or 2.
871212
i2=i1R1/R2\ni1=R2i2/R1\n\nR1/R2=i2/i1\n\nR1/Rx = R2/R3\n(R1/R2)*R3=Rx\nRx=(i2/i1)*R3
654063
The sum of all interior angles of a polygon is given by\n(2n-4)*90 degrees\nSo for pentagon n = 5 \nHence the sum of all interior angles of a pentagon would be\n540 degrees(6*90)