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OpenStudy (anonymous):

In the figure below , if angle C of a parallelogram measures 65 degrees, what is the measure of angle d ?

OpenStudy (anonymous):

|dw:1462923464237:dw|

OpenStudy (anonymous):

ANSWERS : 25 DEGREES 115 DEGREES 100 DEGREES 90 DEGREES

jabez177 (jabez177):

Does it give you the measures of angle a and b?

OpenStudy (anonymous):

@jabez177 no just the measure of C which is 65 degrees .

jabez177 (jabez177):

Okay. We know that angle C is 65 degrees and angle C is congruent to angle A so that means they are the same angles. Angle C = 65 Angle A = 65 Now we have 65 and 65. The interior angles of a Parallelogram add up to 360 degrees. What is 65 + 65?

OpenStudy (anonymous):

@jabez177 65 + 65 is 130.

jabez177 (jabez177):

What is 360 - 130?

OpenStudy (anonymous):

@jabez177 230

jabez177 (jabez177):

\[230\div2\]

OpenStudy (anonymous):

@jabez177 115

jabez177 (jabez177):

That is your angle D :)

OpenStudy (anonymous):

@jabez177 thank you :)

jabez177 (jabez177):

|dw:1462924152077:dw|

jabez177 (jabez177):

If you add up all the angles, 65, 65, 115 ,115, you should get 360. :) That's to check your answer. :)

jabez177 (jabez177):

You can click on "Best Response" once your question has been answered and also please close it after it's done. :) Welcome to OpenStudy! :)

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