What are examples of interior angles?
What are examples of interior angles?
Sum, S = (n − 2) × 180°
| Polygon | Number of sides, n | Sum of Interior Angles, S |
|---|---|---|
| Triangle | 3 | 180(3-2) = 180° |
| Quadrilateral | 4 | 180(4-2) = 360° |
| Pentagon | 5 | 180(5-2) = 540° |
| Hexagon | 6 | 180(6-2) = 720° |
What are same side interior angles also called?
The same side interior angles are also known as consecutive interior angles as the angles are on one side of the transversal but inside the two parallel lines.
Do interior angles add up to 180?
One of the first things we all learned about triangles is that the sum of the interior angles is 180 degrees.
Is same side interior supplementary?
Same Side Interior Angles Theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary. Converse of the Same Side Interior Angles Theorem: If two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel.
What are same side consecutive angles?
Consecutive interior angles are the pairs of angles that are between two lines and on the same side of the line cutting through the two lines. The theorem states that if the two lines are parallel, then the consecutive interior angles are supplementary to each other.
What is interior angle on the same side of transversal?
When a transversal intersects two lines, the two lines are parallel if and only if interior angles on the same side of the transversal and exterior angles on the same side of the transversal are supplementary (sum to 180°).
Are same side interior and exterior angles congruent?
Since alternate interior and alternate exterior angles are congruent and since linear pairs of angles are supplementary, same side angles are supplementary.
What are opposite interior angles?
If two parallel lines are transected by a third line, the angles which are inside the parallel lines and on the same side of the third line are called opposite interior angles. …
Does supplementary mean 180?
Supplementary angles are two angles whose measures add up to 180° .
