SOLUTION: SUppose angle T and angle U are complementary. Find the measure of angle T and the measure of angle U if the measure of angle T = 16x-9 and the measure of angle U = 4x+3.
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Question 27223: SUppose angle T and angle U are complementary. Find the measure of angle T and the measure of angle U if the measure of angle T = 16x-9 and the measure of angle U = 4x+3.
Thanks! Answer by sdmmadam@yahoo.com(530) (Show Source):
You can put this solution on YOUR website! AngleT = 16x - 9 degrees
AngleU = 4x + 3 degreen
Given that T and U are compimentary
Therefore T + U = 90 degrees
That is (16x - 9) + (4x + 3 ) = 90
By addititve associativity and commutativity, we have
(16x + 4x) + ( -9 + 3 ) = 90
20x - 6 = 90
20x = 90 + 6 (by transposing, that is change side, then change sign)
20x = 96
x = 96/20 = 4.8
Therefore Angle T = 16x - 9 = 16x4.8 - 9 = 76.8 - 9.0 = 67.8 degrees
And Angle U = 4x + 3 = 4x4.8 + 3 = 19.2 + 3.0 = 22.2 degrees
Verification:
T and U are Complimentary
T + U = 67.8 + 22.2 = 90 which is correct
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