Answer:
[tex]x=16[/tex]
Step-by-step explanation:
In a triangle the sum of all angle measures will always equal 180 degrees.
[tex]A+B+C=180[/tex]
From the information given we know that the angle measures are:
[tex]A= 90, B=(5x-3), C=(x+9)[/tex]
When you input this into the equation above you get:
[tex]90+(5x-3)+(x+9)=180[/tex]
First, subtract 90 from both sides
[tex](5x-3)+(x+9)=90[/tex]
Next let's combine like terms
[tex]6x+6=90[/tex]
Subtract 6 from both sides
[tex]6x=84[/tex]
divide both sides by 6
[tex]x=16[/tex]
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