B. Write a conclusion based on the two true statements given using the La of Detachment or the Law of Syllogism, and state which law is used. If conclusion is not possible, write no conclusion. 1. Statement a: If the measure of an angle is 90°, then it is a right angle. Statement b: If an angle is right, then it is not acute. Conclusion: Law used: 2. Statement a: If the measure of an angle is less than 90°, then it is acute Statement b: ZIGO measures less than 90°. Conclusion: Law used: 3. Statement a: If two angles form a linear pair, then they are supplementa Statement b: If angles are supplementary, then their sum is 180°. Conclusion: Law used:
B. Write a conclusion based on the two true statements given using the La of Detachment or the Law of Syllogism, and state which law is used. If conclusion is not possible, write no conclusion. 1. Statement a: If the measure of an angle is 90°, then it is a right angle. Statement b: If an angle is right, then it is not acute. Conclusion: Law used: 2. Statement a: If the measure of an angle is less than 90°, then it is acute Statement b: ZIGO measures less than 90°. Conclusion: Law used: 3. Statement a: If two angles form a linear pair, then they are supplementa Statement b: If angles are supplementary, then their sum is 180°. Conclusion: Law used:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:B. Write a conclusion based on the two true statements given using the Law
of Detachment or the Law of Syllogism, and state which law is used. If a
conclusion is not possible, write no conclusion.
1. Statement a:
If the measure of an angle is 90°, then it is a right angle.
Statement b:
If an angle is right, then it is not acute.
Conclusion:
Law used:
2. Statement a:
If the measure of an angle is less than 90°, then it is acute.
Statement b:
ZIGO measures less than 90°.
Conclusion:
Law used:
3. Statement a:
If two angles form a linear pair, then they are supplementary.
Statement b:
If angles are supplementary, then their sum is 180°.
Conclusion:
Law used:
4.
Statement a:
If two angles are adjacent, then they share a common side.
Statement b:
Two angles which share a common side have a common vertex.
Conclusion:
Law used:
5. Statement a:
If two lines are intersecting, then the two lines are coplanar.
Statement b:
Lines h and r are coplanar.
Conclusion:
Law used:
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