Answer:
x=42°
Explanation:
In any triangle, when all three angles are added together, their sum will always be 180°:
∠1+∠2+∠3=180
Insert any known values:
![29+109+x=180](https://img.qammunity.org/2021/formulas/mathematics/high-school/wde4owae7ksp4gbvd71ws801s6aw6bnth5.png)
Simplify the addition:
![138+x=180](https://img.qammunity.org/2021/formulas/mathematics/high-school/gdjdam38j2kgjp7q7ih9sa2b2439k0fpot.png)
Use inverse operations to find angle three. Subtract 138 from both sides:
![138-138+x=180-138\\\\x=42](https://img.qammunity.org/2021/formulas/mathematics/high-school/mzqawtp8icwngv0nozhi8lo6xprwv9ot5x.png)
Therefore, the unknown angle is 42°.
:Done