Congruent supplementary angles would have to be right angles, or 90Â°. This is because the angles must add up to 180Â° and are equivalent angles. The equation for supplementary angles, adding up to 180Â°, is . Setting both and equal to , our angle, gives us . Solving for yields .
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Carlsbad (pronounced /ËkÉrlzbÃ¦d/ KARLZ-bad) is a city in and the county seat of Eddy County, New Mexico, in the United States. As of the 2000 census, the city population was 27,463. Carlsbad is the center of the designated micropolitan area of Carlsbad-Artesia, which has a total population of 51,658. It is a center for potash, petroleum production, and tourism. Carlsbad is located in the Chihuahuan Desert and the Pecos River Valley at an elevation of 3,295 feet (1,004 m). Carlsbad Caverns National Park is located eighteen miles (29 km) southwest of the city, with Guadalupe Mountains National Park lying forty miles further southwest across the Texas border. There are also three man-made lakes within fifty miles of the city, including Lake Carlsbad.