# Geometry: Angle Pairs

#### rachelmaddie

##### Junior Member
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
What is the complement of $$y$$ in terms of $$y$$?

#### MarkFL

##### Super Moderator
Staff member
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
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
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!