Q: What are two angles called when they are both congruent and supplementary?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

No, a pair of angles that are supplementary will always have a sum of 180 degrees, while a pair of angles that are congruent will have the same measure. Therefore, it is not possible for a pair of angles to be both supplementary and congruent.

Definition of a supplementary angle: an angle that is supplementary to another angle is an angle in which the sum of both angles forms a straight line or 180 degrees.Definition of a right angle: an angle whose measure is 90 degrees.Using these terms, let's put them into an equation.Right angle + Supplementary angle = 180.90 + Supplementary angle = 180.Subtract 90 from both sides.Supplementary angle = 180 - 90Supplementary angle = 90 degrees.Alternatively, you can think that two right angles are equivalent to a straight line and that all right angles are congruent and therefore; their supplementary angles are also congruent.

In the context of two parallel lines and an intercept, they are called interior angles.

- A rhombus had four sides and four angles - All four sides of a rhombus are congruent - Both pairs of opposite angles of a rhombus are congruent - One angle of a rhombus is supplementary to both of its consecutive angles - The diagonals of a rhombus bisect each other and are perpendicular - Both pairs of opposite sides of a rhombus are parallel

* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * both pairs of opposite angles are congruent * one pair of opposite sides are parallel and congruent * both diagonals bisect each other * all consecutive angle pairs are supplementary

Related questions

No, a pair of angles that are supplementary will always have a sum of 180 degrees, while a pair of angles that are congruent will have the same measure. Therefore, it is not possible for a pair of angles to be both supplementary and congruent.

Vertical angles are always, by definition, congruent. Note: If the two vertical angles are right angles then they are both congruent and supplementary.

Right angles.

Only if they both equal 90 degrees.

The theorem states "If two angles are both supplementary and congruent, then they are right angles."

Not always. If two angles are congruent then they simply have equal measure. They must only be right angles if they are supplementary, that is, they must both add up to 180 degrees.

Definition of a supplementary angle: an angle that is supplementary to another angle is an angle in which the sum of both angles forms a straight line or 180 degrees.Definition of a right angle: an angle whose measure is 90 degrees.Using these terms, let's put them into an equation.Right angle + Supplementary angle = 180.90 + Supplementary angle = 180.Subtract 90 from both sides.Supplementary angle = 180 - 90Supplementary angle = 90 degrees.Alternatively, you can think that two right angles are equivalent to a straight line and that all right angles are congruent and therefore; their supplementary angles are also congruent.

If they both add up to 180 degrees then they are supplementary angles.

In the context of two parallel lines and an intercept, they are called interior angles.

- A rhombus had four sides and four angles - All four sides of a rhombus are congruent - Both pairs of opposite angles of a rhombus are congruent - One angle of a rhombus is supplementary to both of its consecutive angles - The diagonals of a rhombus bisect each other and are perpendicular - Both pairs of opposite sides of a rhombus are parallel

whenever you have a supplementary angle, you know that both of the angles in the supplementary angles will add up to 180 degrees. if that's what you meant

They both will be right angles that add up to supplementary angles 180 degrees