The question asks us to find the value of [tex]x[/tex] in a diagram picturing a right-angle, which is an angle measuring [tex]90\textdegree[/tex]. So, we are given [tex]2x+1[/tex] and [tex]33[/tex]. To find the value of [tex]x[/tex], we sum those two expressions and make it equal to [tex]90[/tex].
[tex]2x+1+33=90[/tex]
[tex]\Rightarrow 2x+34=90[/tex]
[tex]\Rightarrow 2x=56[/tex]
[tex]\Rightarrow 2x=56[/tex]
[tex]x=28[/tex]
Therefore, the value of [tex]x[/tex] is [tex]\boxed{x=28}[/tex]. Hope this helped and have a phenomenal day!
