SOLUTION: The measures of two complementary angles are (3y -1) and (4y + 7) Determine the value of y Calculate the measure of each of the angles.

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Question 905628: The measures of two complementary angles are
(3y -1) and (4y + 7)
Determine the value of y
Calculate the measure of each of the angles.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The measures of two complementary angles are
(3y -1) and (4y + 7)
Determine the value of y
:
We know that complimentary angle add up to 90, therefore:
(3y-1) + (4y+7) = 90
Combine like terms
3y + 4y - 1 + 7 = 90
7y +6 = 90
7y = 90 - 6
7y = 84
y = 84/7
y = 12
:
Calculate the measure of each of the angles.
replace y with 12
3(12) - 1 = 35 degrees
4(12) + 7 = 55 degrees
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totals to: 90 degrees