Question

How do I answer this and I need explanation pls

Answer 1

65 degrees

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!