1. **State the problem:** We are given a triangle with two angles measuring 65° and 36°, and we need to find the measure of the third angle, labeled as $m\angle 1$. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of any triangle is always 180°. This means: $$m\angle 1 + 65^\circ + 36^\circ = 180^\circ$$ 3. **Set up the equation:** $$m\angle 1 = 180^\circ - 65^\circ - 36^\circ$$ 4. **Calculate:** $$m\angle 1 = 180^\circ - 101^\circ = 79^\circ$$ 5. **Conclusion:** The measure of angle 1 is $79^\circ$.