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an angle is A^degrees, the measure of the complement is (90-A)^degrees. Find an angle whose measure is 3 greater than twice the measure of its complement.
(Please show your work. Thank you!)

2006-09-24 15:35:17 · 4 answers · asked by Chelsey 5 in Education & Reference Homework Help

4 answers

A + (90-A) = 90

3A = 3(2(90-A)) divide both sides of the equation by 3

A = 2(90-A) = 180 - 2A add 2A to both sides of the equation

3A = 180 divide both sides of the equation by 3

A = 60
Ac = 90 -60 = 30
3(2(30)) = 180

Of course it depends on how you read your question.
If you are saying that:
3(2(90-A))=A then
3(180-2A) = A
540 - 6A = A
540 = 7A
A = 77.14 and
Ac = 90 - A = 90-77.14 =12.86

Your answer in this case is 77.14 degrees
Of course if it is simply +3 degrees you meant than
2(90-A) + 3 = A
180-2A+ 3 = A
183 = 3A
A = 183/3 = 61

2006-09-24 15:55:46 · answer #1 · answered by whiskercreek 2 · 0 0

2x+3+x=90
3x+3=90 (lowest commom term)
x+1=30

then x =29
your two angles are 29 and 61

2006-09-24 15:39:24 · answer #2 · answered by nippy115 2 · 0 0

the two equations you will get is x+9 and 2x. via fact it says "9 greater" and "two times the different" set it up as x+9+2x=ninety. combine like words and then subtract 9 from the two factors and you gets 3x=80 one that's 27. then you definitely plug the 27 lower back into the two unique equations. 27+9=36, 27x2=fifty 4, upload their sums at the same time and you get ninety.

2016-12-18 16:24:10 · answer #3 · answered by ? 4 · 0 0

After seeing at least 7 of your math questions on Yahoo!Answers, I have a question for you. Why are you asking other people to do your work for you? Just curious.

2006-09-24 15:38:57 · answer #4 · answered by SmileyGirl 4 · 1 0

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