In triangle abc if angle abc is 90 degrees (a right angle) and angle bca is 45 degrees, then the measure of angle cab is also 45 degrees, as the sum of the angles in a triangle equals 180 degrees.
If triangle abc is a right triangle and the measure of angle abc and angle bca is 45 degrees, then the measure of angle cab can be found by understanding that the sum of angles in a triangle equals 180 degrees. Mathematically, we have a+b+c = 180 where a, b and c are angles of the triangle. Given, b = 90 (as it's a right triangle), and c = 45, we can substitute these values in our equation. Thus, 90 + 45 + a = 180. Solving for a gives us a = 45 degrees. So, the measure of angle cab is 45 degrees.
Learn more about Angles in a Triangle