How many degrees in a right triangle?

Answer: A right triangle has one angle measuring 90 degrees.The total sum of the three angles in a triangle, including a right triangle, is always 180 degrees.

In detail, a right triangle is a specific type of triangle characterized by one of its angles measuring exactly 90 degrees, which is known as the right angle. This angle is formed at the intersection of the two shorter sides of the triangle, called the legs. The side opposite the right angle is called the hypotenuse, which is always the longest side in a right triangle.

While the measure of the right angle in a right triangle is fixed at 90 degrees, the measures of the other two angles can vary. These angles are complementary, meaning that their sum equals 90 degrees. In other words, if one angle measures x degrees, then the other angle measures 90−x degrees.

The total sum of the three angles in any triangle, including a right triangle, always equals 180 degrees. So, if one angle is 90 degrees, and the other two angles together add up to 90 degrees, then the total of all three angles in a right triangle is 90+(90−x)+x=180 degrees.

Therefore, a right triangle has one angle measuring 90 degrees, while the other two angles can vary as long as their sum remains 90 degrees. This fundamental property of right triangles is essential in various mathematical applications, including geometry, trigonometry, and engineering