Question

How do I answer this and I need explanation pls

Answer 1

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:

$(2x-5)+(115-x)+x=180$

Open up the parentheses

$2x-5+115-x+x=180$

The two x's cancel out

$2x-5+115=180\\2x+110=180$

Subtract 110 from both sides

$2x+110-110=180-110\\2x=70$

Divide both sides by 2

$2x/2=70/2\\x=35$

Therefore, x is equal to 35.

2) Find the value of <C

$C=2x-5$

Plug 35 into the equation as x

$C=2(35)-5\\C=70-5\\C=65$

Therefore, the value of angle C is 65 degrees.

I hope this helps!