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Answer:
Step-by-step explanation:
9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:
10. For the lines 'm' and 'n' to be parallel the alternate exterior angles should be equal that is:
11. For the lines 'm' and 'n' to be parallel alternate angles should be equal that is:
Solving for 'x' we get:
12. For the lines 'm' and 'n' to be parallel corresponding angles should be equal that is:
Conditional statement also known an if-then statement is of the form;
where;
p = hypothesis
q = conclusion
Hypothesis is the group of words that comes after the word "IF" in a conditional statement.
While The Conclusion is the group of words that comes after the word "Then" in a conditional statement.
With this explanation, let us proceed to answer the question.
3. If a polygon is a pentagon, then it has five sides.
Hypothesis = a polygon is a pentagon
Conclusion = it has five sides.
4. If two lines form vertical angles, then they intersect.
Hypothesis = two lines form vertical angles
Conclusion = they intersect.
5. If you run, then you are fast
Hypothesis = you run
Conclusion = you are fast
6. If you like math, then you like science.
Hypothesis = you like math
Conclusion = you like science.