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: Lour ugod:

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Answer 4 and 5 only
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:
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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