1. **State the problem:** We are given a quadrilateral with three angles labeled as 110°, 110°, and 70°, and we need to determine if this quadrilateral is a parallelogram. 2. **Recall the properties of a parallelogram:** - Opposite angles in a parallelogram are equal. - Adjacent angles in a parallelogram are supplementary (sum to 180°). 3. **Check the given angles:** - Two angles are 110° each, which are opposite angles and equal. - The third angle is 70°. 4. **Find the fourth angle:** The sum of interior angles in any quadrilateral is 360°. $$110° + 110° + 70° + x = 360°$$ $$x = 360° - (110° + 110° + 70°) = 360° - 290° = 70°$$ 5. **Check if opposite angles are equal:** - Angles 1 and 3 are 110° each. - Angles 2 and 4 are 70° each. 6. **Check if adjacent angles are supplementary:** - 110° + 70° = 180° 7. **Conclusion:** Since opposite angles are equal and adjacent angles are supplementary, the quadrilateral satisfies the angle properties of a parallelogram. **Final answer:** Yes, the quadrilateral is a parallelogram.