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anonymous
 3 years ago
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.
anonymous
 3 years ago
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.

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0What do we know about the angles in a parallelogram ? How are they related?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Well, 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..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1357250721161:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0The angle measurements

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1357250780328:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I think that is what you indicated in the question.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0That angle A is 30 more than Angle B

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0What 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
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, exactly. We can solve for B by adding up all the angles: 30 + B + B + 30 + B + B = 360

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Solve for B and what do we get for the measure of angle B ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.030 + 30 is 60, and B + B + B + B = 4B so we have 60 + 4B = 360

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now do you subtract 60 from 360?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, that leaves 4B = 300

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0and then you divide by 4?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0B = 75 degrees So we know that B = 75 degrees, and based on the parallelogram, would you agree that B = D ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Then our conclusion is that the measure of angle D is 75 degrees :)
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