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

Question

precal · Answer

where is angle D?

anonymous · Answer

attachment

precal · Answer

a is 60  because of corresponding angles

precal · Answer

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

anonymous · Answer

180, right

precal · Answer

yes now can you find d?

anonymous · Answer

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

precal · Answer

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

precal · Answer

|dw:1406038793853:dw|

precal · Answer

a and d are not vertical angles

anonymous · Answer

d would be 75

precal · Answer

|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

precal · Answer

ye d is 75

anonymous · Answer

Thank you so much!

precal · Answer

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

precal · Answer

sorry I meant yes d is 75 earlier

precal · Answer

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