1. **Problem statement:** Given kite GHJI with angles at vertices J and H as 76° and 98° respectively, find the measure of angle I. 2. **Recall kite properties:** In a kite, two pairs of adjacent sides are equal, and one pair of opposite angles (between unequal sides) are equal. Also, the sum of interior angles in any quadrilateral is 360°. 3. **Sum of angles formula:** $$m\angle G + m\angle H + m\angle I + m\angle J = 360^\circ$$ 4. **Given angles:** $$m\angle J = 76^\circ, \quad m\angle H = 98^\circ$$ 5. **Find sum of known angles:** $$76^\circ + 98^\circ = 174^\circ$$ 6. **Calculate sum of remaining angles:** $$m\angle G + m\angle I = 360^\circ - 174^\circ = 186^\circ$$ 7. **Kite property on angles:** Angles between equal sides are equal, so $$m\angle G = m\angle I$$ 8. **Set up equation:** $$m\angle G + m\angle I = 186^\circ \Rightarrow 2m\angle I = 186^\circ$$ 9. **Solve for $m\angle I$:** $$m\angle I = \frac{186^\circ}{2} = 93^\circ$$ **Final answer:** $$m\angle I = 93^\circ$$