anonymous
  • anonymous
A diagonal walkway cuts through a park bordered by two parallel streets. The parks department plans to add an additional walkway as indicated by the dashed line segment in the figure. Question 15 options: A) 42 B) 48 C) 90 D) 138
Mathematics
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anonymous
  • anonymous
A diagonal walkway cuts through a park bordered by two parallel streets. The parks department plans to add an additional walkway as indicated by the dashed line segment in the figure. Question 15 options: A) 42 B) 48 C) 90 D) 138
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
mathstudent55
  • mathstudent55
Is the question what is the measure of x?
anonymous
  • anonymous
i have no clue....

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mathstudent55
  • mathstudent55
That is all the question states? The problem does not ask a question.
ali2x2
  • ali2x2
im stuck...
anonymous
  • anonymous
exactly.... and yes that's the full question
mathstudent55
  • mathstudent55
Since I see an x in the figure, I'll assume the question is "what is the measure of the angle labeled x?"
mathstudent55
  • mathstudent55
Ok, here it is: The streets are parallel. Do you know about alternate interior angles?
anonymous
  • anonymous
maybe... I'll be honest, we never learned how to do this. and yes.
mathstudent55
  • mathstudent55
Using parallel lines and a transversal, and alternate interior angles, what is the measure of angle a? |dw:1438109253345:dw|
anonymous
  • anonymous
it would be 132
mathstudent55
  • mathstudent55
Yes. Let's write that. |dw:1438109440040:dw|
mathstudent55
  • mathstudent55
Using the figure above, can you find the measure of angle b?
mathstudent55
  • mathstudent55
What is the relationship between angles a and b?
anonymous
  • anonymous
48 =b
anonymous
  • anonymous
180-132=48
mathstudent55
  • mathstudent55
Great. a and b are a linear pair. They are supplementary, so a + b = 180, and a = 132, so b = 148. Good.
mathstudent55
  • mathstudent55
|dw:1438109607854:dw|
mathstudent55
  • mathstudent55
Now can you find the measure of the angle labeled x?
anonymous
  • anonymous
so adding 90 and 48? gives me 42
mathstudent55
  • mathstudent55
Actually, subtracting 48 from 90 gives you x = 42. 90 + x + 48 = 180 x + 48 = 90 x = 90 - 48 <------ subtract 48 from 90 x = 42 You are correct.
anonymous
  • anonymous
oh then i did it the longer way but it still works. thank you!

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