Answer :
The measures of the angles in a triangle add up to 180°.
[tex](2x+10)^\circ+(2x+25)^\circ+(x-5)^\circ=180^\circ \\ 2x+10+2x+25+x-5=180 \\ 5x+30=180 \\ 5x=180-30 \\ 5x=150 \\ x=\frac{150}{5} \\ \boxed{x=30}[/tex]
[tex](2x+10)^\circ+(2x+25)^\circ+(x-5)^\circ=180^\circ \\ 2x+10+2x+25+x-5=180 \\ 5x+30=180 \\ 5x=180-30 \\ 5x=150 \\ x=\frac{150}{5} \\ \boxed{x=30}[/tex]
The sum of the measures of the interior angles of a triangle is [tex]180^{\circ}[/tex].
So,
[tex]2x+10+2x+25+x-5=180\\ 5x=150\\ x=30[/tex]
So,
[tex]2x+10+2x+25+x-5=180\\ 5x=150\\ x=30[/tex]
