Geometry: Angle Pairs

rachelmaddie

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Find m<y if m<y is six more than three times its complement.
Question 1 options:

43.5

21

136.5

69
 

MarkFL

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What is the complement of \(y\) in terms of \(y\)?
 

MarkFL

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Yes, so given this, and the problem statement, we may write:

\(\displaystyle y=3(90-y)+6\)

What do you get upon solving for \(y\)?
 

rachelmaddie

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Yes, so given this, and the problem statement, we may write:

\(\displaystyle y=3(90-y)+6\)

What do you get upon solving for \(y\)?
y = 6 + 3(90 - y)....This is your equation. We can now solve for y using algebra.
y = 6 + 270 - 3y
y = 276 - 3y
y + 3y = 276
4y = 276
y = 276/4
y = 69
 

MarkFL

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y = 6 + 3(90 - y)....This is your equation. We can now solve for y using algebra.
y = 6 + 270 - 3y
y = 276 - 3y
y + 3y = 276
4y = 276
y = 276/4
y = 69
Well done! :D
 
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