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
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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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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