Question 956741
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)