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

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) (Show Source): You can put this solution on YOUR website!
A+C = 180

B + D = 180

C + D = 90

-------------------------------------------------------

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

RELATED QUESTIONS
Assume that angles A and B are complementary and angles B and C are supplementary. If... (answered by cleomenius)

Statement: ∠a and ∠b are supplementary angles ∠c and ∠d are... (answered by fcabanski)

If a complementary angles (answered by cleomenius)
Complementary Angles Angles C and D are complementary angles. Determine the measures of... (answered by Alan3354)
if two angles in the ratio of 5:4 are represented by 5x and 4x express each of the... (answered by dkppathak)
If A = 58� and B = 32�, then which of the following statements is true? Angles A... (answered by 119078)
Two Right Angles are NEVER: A.) vertical B.) complementary C.) adjacent D.)... (answered by Alan3354)
< D and < C are complementary angles. If m < D = 23, find m < C (answered by Alan3354)
Given: a||b,c||d Prove: angles 1 and 4 are supplementary (answered by Alan3354)