katieb
  • katieb
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anonymous
  • anonymous
What do we know about the angles in a parallelogram ? How are they related?
anonymous
  • anonymous
There equal?
anonymous
  • anonymous
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..

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anonymous
  • anonymous
|dw:1357250721161:dw|
anonymous
  • anonymous
what?
anonymous
  • anonymous
The angle measurements
anonymous
  • anonymous
|dw:1357250780328:dw|
anonymous
  • anonymous
is it 30+B?
anonymous
  • anonymous
I think that is what you indicated in the question.
anonymous
  • anonymous
That angle A is 30 more than Angle B
anonymous
  • anonymous
okay
anonymous
  • anonymous
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 ?
anonymous
  • anonymous
360?
anonymous
  • anonymous
Yes, exactly. We can solve for B by adding up all the angles: 30 + B + B + 30 + B + B = 360
anonymous
  • anonymous
okay now what?
anonymous
  • anonymous
Solve for B and what do we get for the measure of angle B ?
anonymous
  • anonymous
how do I do that?
anonymous
  • anonymous
30 + 30 is 60, and B + B + B + B = 4B so we have 60 + 4B = 360
anonymous
  • anonymous
now do you subtract 60 from 360?
anonymous
  • anonymous
Yes, that leaves 4B = 300
anonymous
  • anonymous
and then you divide by 4?
anonymous
  • anonymous
Precisely
anonymous
  • anonymous
and you get what?
anonymous
  • anonymous
B = 75 degrees So we know that B = 75 degrees, and based on the parallelogram, would you agree that B = D ?
anonymous
  • anonymous
yes?
anonymous
  • anonymous
Then our conclusion is that the measure of angle D is 75 degrees :)
anonymous
  • anonymous
thanks
anonymous
  • anonymous
Sure np

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