What do alternate interior angles add up to?
Alternate angles are equal. d and f are interior angles . These add up to 180 degrees (e and c are also interior ). Any two angles that add up to 180 degrees are known as supplementary angles .
Are alternate interior angles supplementary?
Two angles are said to be supplementary when the sum of the two angles is 180°. Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8. All angles that are either exterior angles , interior angles , alternate angles or corresponding angles are all congruent.
What are the alternate angles?
Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. Examples. If the alternate angles are between the two lines intersected by the transversal, they are called alternate interior angles .
What is the difference between alternate interior angles and consecutive interior angles?
If they are on the same side, then the angles are considered consecutive . If they are on opposite sides, then the angles are considered alternate . Are the angles inside or outside of the two intersected lines? If they are inside the two lines, then they will be classified as interior .
What do same side interior angles look like?
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Same Side Interior Angles Theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
Why are same side interior angles always supplementary?
The same – side interior angles theorem states that same – side interior angles are supplementary when the lines intersected by the transversal line are parallel. 2) Since the lines A and B are parallel, the same – side interior angles theorem states that same – side interior angles will be supplementary .
What does alternate interior angles mean?
: one of a pair of angles with different vertices and on opposite sides of a transversal at its intersection with two other lines: a : one of a pair of angles inside the two intersected lines. — called also alternate interior angle .
Do alternate interior angles have to be congruent?
Alternate interior angles are congruent . Consecutive interior angles are supplementary. Consecutive interior angles are interior angles which are on the same side of the transversal line. Alternate interior angles don’t have any specific properties in the case of non – parallel lines.
Do co interior angles add up to 180?
Co – interior angles lie between two lines and on the same side of a transversal. In each diagram the two marked angles are called co – interior angles . If the two lines are parallel, then co – interior angles add to give 180 o and so are supplementary.
What is the consecutive interior angles Theorem?
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.
Do same side interior angles have the same measure?
Same – side interior angles are NOT always congruent. In fact, the only time they are congruent (meaning they have the same measure ) is when the