SOLUTION: If angles A and B are supplementary to angles C and D, such that angles C and D are complementary, then the sum of angles A and B is... a)90 b)180 c)270 d)360 e)450

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Question 703349: If angles A and B are supplementary to angles C and D, such that angles C and D are complementary, then the sum of angles A and B is...
a)90
b)180
c)270
d)360
e)450
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A+C = 180

B + D = 180

C + D = 90

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Add the first two equations

A + B + C + D = 180 + 180

A + B + (C + D) = 360

A + B + 90 = 360

A + B = 360 - 90

A + B = 270

So the answer is choice C