Answer:
45 degrees
Explanation:
The sum of the measures of the angles in a triangle is 180 degrees. Thus:
[tex]m\angle W+m\angle X+m\angle Y=180\degree[/tex]
Substituting the given values:
[tex](2x-12)+(2x+17)+(9x-7)=180\degree[/tex]
We first solve for x.
[tex]\begin{gathered} 2x+2x+9x=180+12-17+7 \\ 13x=182 \\ x=\frac{182}{13} \\ x=14 \end{gathered}[/tex]
Thus, the measure of angle X will be:
[tex]\begin{gathered} 2x+17=2(14)+17 \\ =28+17 \\ =45\degree \end{gathered}[/tex]
