Calculate Measures Of Complementary Angles With Angle Addition Postulate
In geometry, complementary angles are two angles whose sum is 90 degrees. In the given figure, the angles x and 50 degrees are complementary. To find the value of x, we can use the definition of complementary angles and the angle addition postulate. The angle addition postulate states that the sum of the angles in a triangle is 180 degrees. Since the figure shows a triangle with angles x, 50 degrees, and 90 degrees, we can use the angle addition postulate to set up an equation: x + 50 degrees + 90 degrees = 180 degrees. Solving for x, we get x = 180 degrees – 50 degrees – 90 degrees = 40 degrees. Therefore, the value of x in the figure is 40 degrees.