1. **State the problem:** We have a triangle with two interior angles measuring 72° and 62°, and an exterior angle adjacent to the 62° angle labeled as $x^\circ$. We need to find the value of $x$. 2. **Recall the exterior angle theorem:** The exterior angle of a triangle is equal to the sum of the two opposite interior angles. 3. **Apply the theorem:** Here, the exterior angle $x$ is adjacent to the 62° angle, so it equals the sum of the other two interior angles, which are 72° and 62°. 4. **Calculate $x$:** $$ x = 72^\circ + 62^\circ $$ $$ x = 134^\circ $$ 5. **Conclusion:** The value of $x$ is $134^\circ$.