Answer:
65 degrees
Step-by-step explanation:
1) Find the value of x
The sum of all the interior angles of a triangle is always 180 degrees. Knowing this, we can construct the following equation:
[tex](2x-5)+(115-x)+x=180[/tex]
Open up the parentheses
[tex]2x-5+115-x+x=180[/tex]
The two x's cancel out
[tex]2x-5+115=180\\2x+110=180[/tex]
Subtract 110 from both sides
[tex]2x+110-110=180-110\\2x=70[/tex]
Divide both sides by 2
[tex]2x/2=70/2\\x=35[/tex]
Therefore, x is equal to 35.
2) Find the value of <C
[tex]C=2x-5[/tex]
Plug 35 into the equation as x
[tex]C=2(35)-5\\C=70-5\\C=65[/tex]
Therefore, the value of angle C is 65 degrees.
I hope this helps!
