Question

Help me please I don't understand this problem ??

Answer 1

m∠X = 54°

Explanation:

m∠XYZ plus m∠XYW would equal 180°, so knowing this we can make an equation to find m∠XYW:

`180-(9x-15)\\180-9x+15\\195-9x`

m∠XYW equals
`195-9x`, and we know that all the angles in a triangle will add up to 180°, so we can make an equation to find x:

`(2x+22)+(4x+11)+(195-9x)=180\\6x+33+195-9x=180\\228-3x=180\\48=3x\\x=16`

Now that we know x is 16, we can substitute to find m∠X:

`2(16)+22\\32+22\\54`

m∠X = 54°