Question

If a ray divides an angle into two complementary angles, then the original angle is not a right angle. True or false

Answer 1

The given statement " If a ray divides an angle into two complementary angles, then the original angle is not a right angle" is false.

As, Complementary angles are those in which sum of two angles add up to 90 degrees.  

Now, let us consider two angles made by the ray is 'x' and 'y'. According to the question, the ray divides an angle into two complementary angles which means  $x+y = 90^\circ$

In this case since the two angles formed after being divided by ray are complementary it means they add up to 90 degrees. And hence, the original angle should be a right angle.  

Therefore, it is false to say that the original angle is not a right angle.