Geometry: Angle Pairs

[rachelmaddie]

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

43.5

21

136.5

69

 

[MarkFL]

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

 

[rachelmaddie]

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

90-y

 

[MarkFL]

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

[MATH]y=3(90-y)+6[/MATH]
What do you get upon solving for \(y\)?

 

[rachelmaddie]

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

[MATH]y=3(90-y)+6[/MATH]
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]

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!