If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent. Congruent Supplements Theorem. If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent. Right Angles Theorem. All right angles are congruent.
Carlsbad, New Mexico. Carlsbad (/ËkÉËrlzbÃ¦d/ KARLZ-bad) is a city in and the county seat of Eddy County, New Mexico, United States. As of the 2010 census, the city population was 26,138.
County Highlights. 1  Check out the latest from your county officials. 2  Explore the Beautiful Carlsbad Caverns. Learn about the exciting and fascinating adventures that await you at the Carlsbad Caverns National Park. 3  Eddy County Courthouse. The Eddy county courthouse was completed in 1892 and has an interesting history.