## beautiful_gurl 2 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.

1. LogicalApple

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

2. beautiful_gurl

There equal?

3. LogicalApple

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..

4. LogicalApple

|dw:1357250721161:dw|

5. beautiful_gurl

what?

6. LogicalApple

The angle measurements

7. LogicalApple

|dw:1357250780328:dw|

8. beautiful_gurl

is it 30+B?

9. LogicalApple

I think that is what you indicated in the question.

10. LogicalApple

That angle A is 30 more than Angle B

11. beautiful_gurl

okay

12. LogicalApple

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 ?

13. beautiful_gurl

360?

14. LogicalApple

Yes, exactly. We can solve for B by adding up all the angles: 30 + B + B + 30 + B + B = 360

15. beautiful_gurl

okay now what?

16. LogicalApple

Solve for B and what do we get for the measure of angle B ?

17. beautiful_gurl

how do I do that?

18. LogicalApple

30 + 30 is 60, and B + B + B + B = 4B so we have 60 + 4B = 360

19. beautiful_gurl

now do you subtract 60 from 360?

20. LogicalApple

Yes, that leaves 4B = 300

21. beautiful_gurl

and then you divide by 4?

22. LogicalApple

Precisely

23. beautiful_gurl

and you get what?

24. LogicalApple

B = 75 degrees So we know that B = 75 degrees, and based on the parallelogram, would you agree that B = D ?

25. beautiful_gurl

yes?

26. LogicalApple

Then our conclusion is that the measure of angle D is 75 degrees :)

27. beautiful_gurl

thanks

28. LogicalApple

Sure np

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