The exterior angle of a triangle is equal to the sum of the two opposite interior angles. So if a triangle had points A, B and C: The exterior angle at B would equal the sum of interior angles at A and C. Similarly, the exterior angle at C would equal the sum of interior angles at A and B And the the exterior angle at A would equal the sum of interior angles at C and B.
if you were smart you would know
The exterior angles of a pentagon, or of any polygon, add to 360 degrees. Note, however, that exterior angles are not the same as the angles outside. One would think that each pair of interior and exterior angles add to 360 degrees. Instead, they sum to 180.
The sum of the exterior angles cannot be 1980 degrees - it is always 360 degrees.
No, two lines would not be parallel if the consecutive interior angles measured 108 degrees and 74 degrees. Consecutive interior angles on parallel lines are always congruent, meaning they have the same measure. Therefore, if the consecutive interior angles have different measures, the lines cannot be parallel.
Consecutive angles in a parallelogram will not be complementary. Complementary would mean the angles would add up to 90 degrees. Consecutive angles add up to 180 degrees, meaning they are supplementary.
The total sum of exterior angles of any polygon is 360 degrees. So if it is a regular hexagon it would have 6 exterior angles of 60 degrees.
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. So if a triangle had points A, B and C: The exterior angle at B would equal the sum of interior angles at A and C. Similarly, the exterior angle at C would equal the sum of interior angles at A and B And the the exterior angle at A would equal the sum of interior angles at C and B.
The measures of the three exterior angles would be 95, 160 and 105.
if you were smart you would know
The exterior angles of a pentagon, or of any polygon, add to 360 degrees. Note, however, that exterior angles are not the same as the angles outside. One would think that each pair of interior and exterior angles add to 360 degrees. Instead, they sum to 180.
The question does not really make sense. Once might ask, "Are consecutive angles in a parallelogram complementary?" in which case the answer is no. Complementary angles are angles which add up to 90 degrees. Consecutive angles are angles next to each other (or follow each other). In a parallelogram, consecutive angles are supplementary (add to 180 degrees). In a parallelogram, opposite angles are equal. You could have a parallelogram where two angles are 45 degree (and thus complementary) and then the other two angles would be 135 degrees.
The sum of the exterior angles cannot be 1980 degrees - it is always 360 degrees.
No, two lines would not be parallel if the consecutive interior angles measured 108 degrees and 74 degrees. Consecutive interior angles on parallel lines are always congruent, meaning they have the same measure. Therefore, if the consecutive interior angles have different measures, the lines cannot be parallel.
The exterior angles of a REGULAR 15-gon are 204o, so the sum would be 3060o. This remains true for non-regular 15-gons as well (the exterior angle sum, not the exterior angles).
Then the alternate angles created would be equal in size.
There is no such thing as "a" consecutive angle. "Consecutive" means something like "one right after the other", so it refers to the relationship between two (or more) angles, not to a single angle. Presumably, it would refer to angles sharing a common side.