Answer :
Let's analyze the given statements step by step to draw a conclusion.
Statements:
1. A: If an angle is obtuse, then it must measure more than 90 degrees.
2. B: 43 is obtuse.
3. O23 measures more than 90 degrees.
4. 23 measures less than 90 degrees.
5. 23 is obtuse.
6. 23 is acute.
Analysis:
1. According to statement A, an obtuse angle is one that measures more than 90 degrees.
2. Statement B tells us that the angle 43 is obtuse. Applying statement A, we know that the measure of angle 43 must be more than 90 degrees.
3. The statement saying "O23 measures more than 90 degrees" doesn't align well with point A since all obtuse angles measure more than 90 degrees.
4. Statement 4 says "23 measures less than 90 degrees." According to our definitions, this means angle 23 cannot be obtuse.
5. Statement 5 claims "23 is obtuse," but this contradicts statement 4 because an obtuse angle cannot measure less than 90 degrees.
6. Therefore, based on our definitions, if angle 23 measures less than 90 degrees, then it must be classified as an acute angle. This aligns with statement 6 which says "23 is acute."
Conclusion:
Given the information and the definitions, the conclusion drawn is:
23 is acute.
Statements:
1. A: If an angle is obtuse, then it must measure more than 90 degrees.
2. B: 43 is obtuse.
3. O23 measures more than 90 degrees.
4. 23 measures less than 90 degrees.
5. 23 is obtuse.
6. 23 is acute.
Analysis:
1. According to statement A, an obtuse angle is one that measures more than 90 degrees.
2. Statement B tells us that the angle 43 is obtuse. Applying statement A, we know that the measure of angle 43 must be more than 90 degrees.
3. The statement saying "O23 measures more than 90 degrees" doesn't align well with point A since all obtuse angles measure more than 90 degrees.
4. Statement 4 says "23 measures less than 90 degrees." According to our definitions, this means angle 23 cannot be obtuse.
5. Statement 5 claims "23 is obtuse," but this contradicts statement 4 because an obtuse angle cannot measure less than 90 degrees.
6. Therefore, based on our definitions, if angle 23 measures less than 90 degrees, then it must be classified as an acute angle. This aligns with statement 6 which says "23 is acute."
Conclusion:
Given the information and the definitions, the conclusion drawn is:
23 is acute.
