Answer:
[tex]x=20\textdegree[/tex]
Step-by-step explanation:
The angle we have here is a right angle. Right angles have a total measure of 90°. Therefore, the two parts must equal 90°:
Thus, we have the equation:
[tex](x)+(3x+10)=90[/tex]
Combine like terms:
[tex]4x+10=90[/tex]
Subtract 10 from both sides. The left side cancels:
[tex](4x+10)-10=90-10\\4x=80[/tex]
Divide both sides by 4. The left side cancels:
[tex](4x)/4=(80)/4\\x=20[/tex]
Thus, x is 20°.
