Answer:
Angle x measures 33.5 degrees.
Step-by-step explanation:
From the given picture, we can note that angle x and the angle of 23 degrees are vertical opposite angles,
Since lines l and m are perperdicular then the angle between then measures 90 degrees, so we have:
[tex]x+23+x=90[/tex]
By collecting similar terms the equation which represents a relation between these angles is:
[tex]2x+23=90[/tex]
Now, by subtracting 23 to both sides, we obtain:
[tex]2x=90-23\\2x=67[/tex]
and by dividing both sides by 2, we get
[tex]x=\frac{67}{2}[/tex]
[tex]x=33.5\\[/tex]
Then angle x measures 33.5 degrees.
