Geometry: Angle Pairs

rachelmaddie

Junior Member
Joined
Aug 30, 2019
Messages
52
Find m<y if m<y is six more than three times its complement.
Question 1 options:

43.5

21

136.5

69
 

MarkFL

Super Moderator
Staff member
Joined
Nov 24, 2012
Messages
2,056
What is the complement of \(y\) in terms of \(y\)?
 

MarkFL

Super Moderator
Staff member
Joined
Nov 24, 2012
Messages
2,056
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

Junior Member
Joined
Aug 30, 2019
Messages
52
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

Super Moderator
Staff member
Joined
Nov 24, 2012
Messages
2,056
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
 
Top