Question 231380
Your triangle has three angles, BAC=5x+8, ABC=6x+22, and BCA=3x-25, and, as in any other triangle, the sum of these three angles is 180 degrees.
So, we can write an equation from the information given about each of these three angles:
{{{(5x+8)+(6x+22)+(3x-25) = 180}}} Simplify this.
{{{14x+5 = 180}}} Subtract 5 from both sides.
{{{14x = 175}}} Divide both sides by 14.
{{{highlight_green(x = 12.5)}}}
The angles are:
{{{BAC = 5x+8}}}
{{{highlight(BAC = 70.5)}}}degrees.
{{{ABC = 6x+22}}}
{{{highlight(ABC = 97)}}}degrees.
{{{BCA = 3x-25}}}
{{{highlight(BCA = 12.5)}}}degrees.