Answer:
Using the following information from the diagram, the value of x is 38.
Explanation:
In every triangle, the sum of the all of the angles will add up to 180°. So, in order to find the value of x, then we will add the terms to each other and equal them to 180°.
![(x+81)+(x-15)+x=180](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mh8dxzlaqltncd8ztcm64u56fmg8f50j7t.png)
Combine like terms.
![3x+66=180](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9l007mv9eedbz4gf5aaoq8g73rqij1wkt9.png)
Subtract 66 on both sides of the equation.
![3x=114](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qm65vljx5h4orsmglvdtngihkes6sydscs.png)
Divide 3 on both sides of the equation.
![x=38](https://img.qammunity.org/2021/formulas/mathematics/college/psgazyd4sp5oifdstfnpvpm8gayx6upobv.png)
So, the value of x is 38.