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beautiful_gurl

In parallelogram ABCD m<A is 30 more than m<B. Find the measure of m<D.... ALL WORK MUST BE SHOWN AND DIAGRAM NEEDED IF NECESSARY.

  • one year ago
  • one year ago

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  1. LogicalApple
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    What do we know about the angles in a parallelogram ? How are they related?

    • one year ago
  2. beautiful_gurl
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    There equal?

    • one year ago
  3. LogicalApple
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    Well, each angle has a corresponding angle on the opposite side, which is equal. |dw:1357250638700:dw| So if the lower right angle is A = 30 + B then it would look like..

    • one year ago
  4. LogicalApple
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    |dw:1357250721161:dw|

    • one year ago
  5. beautiful_gurl
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    what?

    • one year ago
  6. LogicalApple
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    The angle measurements

    • one year ago
  7. LogicalApple
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    |dw:1357250780328:dw|

    • one year ago
  8. beautiful_gurl
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    is it 30+B?

    • one year ago
  9. LogicalApple
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    I think that is what you indicated in the question.

    • one year ago
  10. LogicalApple
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    That angle A is 30 more than Angle B

    • one year ago
  11. beautiful_gurl
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    okay

    • one year ago
  12. LogicalApple
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    What I labeled in the diagram as "B" and "30 + B" are the angle measurements for each angle. Last question is, what do the angle measurements add up to in a parallelogram ?

    • one year ago
  13. beautiful_gurl
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    360?

    • one year ago
  14. LogicalApple
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    Yes, exactly. We can solve for B by adding up all the angles: 30 + B + B + 30 + B + B = 360

    • one year ago
  15. beautiful_gurl
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    okay now what?

    • one year ago
  16. LogicalApple
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    Solve for B and what do we get for the measure of angle B ?

    • one year ago
  17. beautiful_gurl
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    how do I do that?

    • one year ago
  18. LogicalApple
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    30 + 30 is 60, and B + B + B + B = 4B so we have 60 + 4B = 360

    • one year ago
  19. beautiful_gurl
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    now do you subtract 60 from 360?

    • one year ago
  20. LogicalApple
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    Yes, that leaves 4B = 300

    • one year ago
  21. beautiful_gurl
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    and then you divide by 4?

    • one year ago
  22. LogicalApple
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    Precisely

    • one year ago
  23. beautiful_gurl
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    and you get what?

    • one year ago
  24. LogicalApple
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    B = 75 degrees So we know that B = 75 degrees, and based on the parallelogram, would you agree that B = D ?

    • one year ago
  25. beautiful_gurl
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    yes?

    • one year ago
  26. LogicalApple
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    Then our conclusion is that the measure of angle D is 75 degrees :)

    • one year ago
  27. beautiful_gurl
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    thanks

    • one year ago
  28. LogicalApple
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    Sure np

    • one year ago
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