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Mathematics 78 Online
OpenStudy (anonymous):

Solve for angle D using all three of the definitions of vertical, supplementary, and corresponding angles. Explain your reasoning.

OpenStudy (precal):

where is angle D?

OpenStudy (anonymous):

OpenStudy (precal):

a is 60 because of corresponding angles

OpenStudy (precal):

the rest is easy do you recall how many degrees is on a line?

OpenStudy (anonymous):

180, right

OpenStudy (precal):

yes now can you find d?

OpenStudy (anonymous):

would d also be 60 degrees since it is just a mirror image of a?

OpenStudy (precal):

no the line consists of d, 45 degrees and a all of these make up a straight line which means they add up to 180 degrees a is a corresponding angle and is 60

OpenStudy (precal):

|dw:1406038793853:dw|

OpenStudy (precal):

a and d are not vertical angles

OpenStudy (anonymous):

d would be 75

OpenStudy (precal):

|dw:1406038824576:dw| notice 2 angles that add up to 180 are called linear pairs since they are a pair of angles on a line

OpenStudy (precal):

ye d is 75

OpenStudy (anonymous):

Thank you so much!

OpenStudy (precal):

|dw:1406038888553:dw|look for the letter F when looking for corresponding angles

OpenStudy (precal):

sorry I meant yes d is 75 earlier

OpenStudy (precal):

|dw:1406038939476:dw|F can appear in these fashions as well they are called corresponding angles

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