SOLUTION: I am having trouble visualizing the equation for this word problem. One angle is one less than six times the measure of another. The two angles are complementary angles. Find th

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Question 956741: I am having trouble visualizing the equation for this word problem. One angle is one less than six times the measure of another. The two angles are complementary angles. Find the measure of each angle.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let A = one angle
let B = the other angle
:
Write an equation for each statement
:
"One angle is one less than six times the measure of another."
A = 6B - 1
" The two angles are complementary angles."
A + B = 90
:
Find the measure of each angle.
From the 1st statement we know A = (6B-1)
Replace A with (6B-1) in 2nd equation
(6B-1) + B = 90
6B + B = 90 + 1
7B = 91
B = 91/7
B = 13 degrees is the other angle
then
A = 6(13) - 1
A = 78 - 1
A = 77 degree is the first angle
:
Confirm by seeing if they are complimentary (add up to 90)