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