SOLUTION: angle A and angle B are complementary. Find angle A and angle B. mangle A=5x+8 mangle B=x+4

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Question 153390This question is from textbook McDougal Littell Geometry
: angle A and angle B are complementary. Find angle A and angle B.
mangle A=5x+8
mangle B=x+4 This question is from textbook McDougal Littell Geometry

Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
If two angles are complementary, their sum is 90 degrees.
So
A%2BB=90
Substituting A=5x+8 and B=x+4 into the equation above, we have
5x%2B8%2Bx%2B4=90
6x%2B12=90
6x=78
x=78%2F6
x=13
Substituting x = 13 into A=5x+8 and B=x+4, we have
A=5x%2B8=5%2A13%2B8=73
B=x%2B4=13%2B4=17