Answer:
m∠X = 54°
Step-by-step explanation:
m∠XYZ plus m∠XYW would equal 180°, so knowing this we can make an equation to find m∠XYW:
[tex]180-(9x-15)\\180-9x+15\\195-9x[/tex]
m∠XYW equals [tex]195-9x[/tex], and we know that all the angles in a triangle will add up to 180°, so we can make an equation to find x:
[tex](2x+22)+(4x+11)+(195-9x)=180\\6x+33+195-9x=180\\228-3x=180\\48=3x\\x=16[/tex]
Now that we know x is 16, we can substitute to find m∠X:
[tex]2(16)+22\\32+22\\54[/tex]
m∠X = 54°
