Answer:
[tex]x=38\textdegree[/tex]
Step-by-step explanation:
Remember that complementary angles always add up to 90°.
We know that the two complementary angles are represented by (x) and (x+14). In other words:
[tex](x)+(x+14)=90[/tex]
So, let's solve for x.
First, combine like terms:
[tex]2x+14=90[/tex]
Let's isolate the x by subtracting 14 from both sides:
[tex](2x+14)-14=(90)-14[/tex]
The left cancels. Subtract on the right:
[tex]2x=76[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{76}{2}[/tex]
The left side cancels. Divide on the right:
[tex]x=38\textdegree[/tex]
So, the value of x is 38°.
And we're done!
