1. **State the problem:** We need to find the measure of angle 1 in a triangle where the other two angles are 30° and 48°. 2. **Recall the triangle angle sum rule:** The sum of the interior angles in any triangle is always 180°. This means: $$m\angle1 + 30^\circ + 48^\circ = 180^\circ$$ 3. **Set up the equation:** $$m\angle1 = 180^\circ - 30^\circ - 48^\circ$$ 4. **Calculate:** $$m\angle1 = 180^\circ - 78^\circ = 102^\circ$$ 5. **Conclusion:** The measure of angle 1 is 102°.