Are exterior angles equal or supplementary?

If alternate exterior angles are congruent, then the lines are parallel. At each intersection, the corresponding angles lie at the same place. The alternate exterior angles that lie outside the lines are intercepted by the transversal. These angles are supplementary to the adjacent angles.

Are exterior angles always supplementary?

Same-side Exterior Angles: Angles that are outside on different sides of the two parallel lines, but are on the same side of the transversal. They are always supplementary. Corresponding Angles: Angles that match the angles of the opposite parallel line intersection.

Is same side interior angles congruent or supplementary?

supplementary
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.

Are same side angles congruent?

FAQs on Same Side Interior Angles The same side interior angles are NOT congruent. They are supplementary. The same side interior angles formed when two parallel lines intersected by a transversal.

Is alternate exterior congruent or supplementary?

congruent
Since alternate interior and alternate exterior angles are congruent and since linear pairs of angles are supplementary, same side angles are supplementary.

Are supplementary angles congruent?

If two angles are each supplementary to a third angle, then they’re congruent to each other. (This is the three-angle version.) *Supplements of congruent angles are congruent. If two angles are supplementary to two other congruent angles, then they’re congruent.

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.

What angles are always supplementary?

Two angles are supplementary if their measures add up to 180°. The angles don’t have to be next to each other, though! Supplementary pairs will always be made up of two right angles, or one acute angle and one obtuse angle.

How to calculate alternate exterior angles?

Alternate angles are shaped by the two parallel lines crossed by a transversal. Consider the given figure, EF and GH are the two parallel lines. RS is the transversal line that cuts EF at L and GH at M. If two parallel lines are cut by a transversal, then the alternate angles are equal. Therefore, ∠3 = ∠ 5 and ∠4 = ∠6.

What are real life examples of alternate exterior angles?

They are congruent if the two lines crossed by the transversal are parallel

  • If the alternate exterior angles are congruent then the two lines are parallel
  • They are supplementary if the transversal intersects two parallel lines at right angles.
  • Which angles are pairs of alternate exterior angles?

    Antithesis of Theorem. If the alternate interior angles produced by the transversal line on two coplanar are congruent,then the two lines are parallel to each other.

  • Co-interior Angles. Co-interior angles are the two angles that are on the same side of the transversal.
  • Co-interior Angle Theorem and Proof.
  • Examples.
  • How to solve for alternate exterior angles?

    – Each pair of alternate interior angles is equal. – Each pair of co-interior angles is supplementary. – Each pair of corresponding angles is equal. – Each pair of alternate exterior angles is equal.