Analyze the diagram below and answer the question that follows. If <10 and <15 are congruent, which lines are parallel? A. lines b and c B. lines c and d C. lines a and b D. No lines are parallel.
![Analyze the diagram below and answer the question that follows If lt10 and lt15 are congruent which lines are parallel A lines b and c B lines c and d C lines a class=](https://us-static.z-dn.net/files/d26/a1f2cbbaf1aaf6aeb8314476b1bc155c.png)
If angle 10 and 15 are congruent ( the same) that would mean lines a and b would need to be parallel with each other because that have the same angles.
The answer ic C.
Answer:
C. lines a and b
Step-by-step explanation:
Angles ∡10 and ∡11 are congruent.
Also, angles ∡15 and ∡14 are congruent.
If ∡10 and ∡15 are congruent, it means that all of four angles ∡10, ∡11, ∡14, ∡15 are congruent.
That also means that ∡9, ∡12, ∡16 and ∡16 are congruent:
∡9=180°-∡10 and ∡13=180°-∡15
Since ∡10 and ∡15 are congruent, it yields that ∡9 and ∡13 are congruent.
Same argument for ∡12 and ∡16.
Therefore, lines a and b are parallel.