If a ray divides an angle into two complementary angles, then the original angle is not a right angle. True or false
1 answer:
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
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.
You might be interested in
Answer:
- See below
Step-by-step explanation:
<u>Given system:</u>
- y ≥ 2x + 1
- y ≤ 2x – 2
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
