Question

What must the measure of angle LMN be? m∠LMN = °

Answer 1

Both 25x and 22x + 9 have the same answers. So you set those two equal to each other.

`25x = 22x + 9`
Subtract 22x from both sides.

`3x = 9`
and you're left with this.
Next, divide 3 from both sides.

`x = 3`
re-insert 3 into one of the equations.

`25(3) = 75`
add up both angles

`75 + 75 = 150`
all angles (for quadrilaterals)added up equals 360.

`150 + 2x = 360`
solve for x. Subtract 150 from both sides.

`2x = 210`
and divide 2 from both sides

`x = 105`
AngleLMN= 105