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anonymous

  • one year ago

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

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  1. anonymous
    • one year ago
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  2. mathstudent55
    • one year ago
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    Is the question what is the measure of x?

  3. anonymous
    • one year ago
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    i have no clue....

  4. mathstudent55
    • one year ago
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    That is all the question states? The problem does not ask a question.

  5. ali2x2
    • one year ago
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    im stuck...

  6. anonymous
    • one year ago
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    exactly.... and yes that's the full question

  7. mathstudent55
    • one year ago
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    Since I see an x in the figure, I'll assume the question is "what is the measure of the angle labeled x?"

  8. mathstudent55
    • one year ago
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    Ok, here it is: The streets are parallel. Do you know about alternate interior angles?

  9. anonymous
    • one year ago
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    maybe... I'll be honest, we never learned how to do this. and yes.

  10. mathstudent55
    • one year ago
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    Using parallel lines and a transversal, and alternate interior angles, what is the measure of angle a? |dw:1438109253345:dw|

  11. anonymous
    • one year ago
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    it would be 132

  12. mathstudent55
    • one year ago
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    Yes. Let's write that. |dw:1438109440040:dw|

  13. mathstudent55
    • one year ago
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    Using the figure above, can you find the measure of angle b?

  14. mathstudent55
    • one year ago
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    What is the relationship between angles a and b?

  15. anonymous
    • one year ago
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    48 =b

  16. anonymous
    • one year ago
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    180-132=48

  17. mathstudent55
    • one year ago
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    Great. a and b are a linear pair. They are supplementary, so a + b = 180, and a = 132, so b = 148. Good.

  18. mathstudent55
    • one year ago
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    |dw:1438109607854:dw|

  19. mathstudent55
    • one year ago
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    Now can you find the measure of the angle labeled x?

  20. anonymous
    • one year ago
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    so adding 90 and 48? gives me 42

  21. mathstudent55
    • one year ago
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    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.

  22. anonymous
    • one year ago
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    oh then i did it the longer way but it still works. thank you!

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