Question

Determine whether this statement is true or false. If false, identify the correct explanation. If a ray divides an angle into two supplementary angles, the the original angle is a straight angle. ￼

1. MichaelMet
The statement “If a ray divides an angle into two supplementary angles, the original angle is a straight angle.” is a true statement
This is further explained below.

### What are supplementary angles?

Generally, Complementary angles are two angles whose sums, when added together, equal 180 degrees. Always remember that the two angles that make up a linear pair, such as 1 and 2 in the image below, are complementary to one another.
However, for two angles to be complementary, they do not need to be next to one another. In the following illustration, angles 3 and 4 are supplementary given that the sum of their degrees equals 180°.
In conclusion, The assertion that “if a ray splits an angle into two additional angles, the original angle is a straight angle” is one that may be verified as being correct.