ok, so i don't understand this question. : which postulate justifies the following statement? "exactly one plane contains <(angle)ABC"??? i don't get what i'm supposed to answer and i don't even understand what it's trying to say.
and i've got one aother question about a problem if someone could explain to me. : B is in the interior of <AOC. C is in the interior of <BOD. m<AOD=100 degrees, m<COD= 10 degrees, and m<AOB=m<COD.
my teacher hasn't explained any of this to me no matter how many times i've asked him. so any help will be welcome!!!
The way you stated the first problem and without a diagram to guide us, I don't think you can expect an answer to that one.
For your second, I tried to construct a diagram containing your information.
You don't ask a question about it.
All I could deduce is that <BOC = 80º
I understand that you're confused about the question about postulates and the given situation about angles AOC, COD, and AOB. I'll do my best to explain and help you understand.
1. Regarding the first question:
The question asks which postulate justifies the statement that exactly one plane contains angle ABC. In geometry, postulates are statements that are accepted without proof and serve as the foundation for geometric reasoning. These postulates help us make logical arguments to prove various geometric properties.
To answer this question, we need to understand what an angle is and how planes are related to angles. An angle is formed by two rays with a common endpoint. In Euclidean geometry, angles lie in a plane. So, the statement "exactly one plane contains angle ABC" means that there is only one plane on which angle ABC lies.
To find the postulate that justifies this statement, you can refer to a list of postulates provided by your textbook or teacher. Common postulates related to angles and planes include the Angle Addition Postulate, the Vertical Angles Theorem, or the Linear Pair Postulate. Look for a postulate that states that angles lie on a single plane or something similar.
2. Regarding the second question:
The given situation states that point B is in the interior (inside) angle AOC, and point C is in the interior angle BOD. It also provides angle measurements: m<AOD = 100 degrees, m<COD = 10 degrees, and m<AOB = m<COD.
To help you understand and interpret the situation, let's break down the information:
- AOC: This refers to angle AOC, which has B in its interior. It means that point B lies inside angle AOC.
- BOD: This refers to angle BOD, which has C in its interior. It means that point C lies inside angle BOD.
- m<AOD = 100 degrees: This means that the measure of angle AOD is 100 degrees.
- m<COD = 10 degrees: This means that the measure of angle COD is 10 degrees.
- m<AOB = m<COD: This equation tells us that the measure of angle AOB is equal to the measure of angle COD. So if angle COD is 10 degrees, then angle AOB is also 10 degrees.
Without further information or specific instructions provided in the problem, it is difficult to determine what the actual question or desired answer might be. However, based on the given information, you can analyze the relationships between the angles and use your knowledge of geometry to make conclusions or solve related problems.
I would recommend discussing this confusion with your teacher, seeking clarification, or referring to your textbook/notes for further explanation of the concepts and problem-solving techniques.