1. **State the problem:** We are given a large quadrilateral with various angles labeled and some angle measures provided. We need to find the measures of angles 9 through 19 using the given information and properties of quadrilaterals and triangles. 2. **Recall important rules:** - The sum of angles in a triangle is $180^\circ$. - The sum of angles in a quadrilateral is $360^\circ$. - When two lines are perpendicular, the angles formed are $90^\circ$. - Adjacent angles on a straight line sum to $180^\circ$. 3. **Given angles:** $m\angle EAB=95^\circ$, $m\angle BED=80^\circ$, $m\angle 1=83^\circ$, $m\angle 3=101^\circ$, $m\angle 5=46^\circ$, $m\angle 7=35^\circ$, $m\angle ABC=104^\circ$, $AC \perp CD$, $m\angle 2=62^\circ$, $m\angle 4=104^\circ$, $m\angle 8=70^\circ$. 4. **Find missing angles step-by-step:** - Since $AC \perp CD$, $m\angle ACD=90^\circ$. - Use triangle angle sum to find angles adjacent to known ones. - For example, in triangle with angles 1, 2, and 9, sum is $180^\circ$: $$m\angle 9 = 180 - m\angle 1 - m\angle 2 = 180 - 83 - 62 = 35^\circ$$ - Similarly, use other triangles and linear pairs to find angles 10 through 19. - For angle 10, if adjacent to angle 3 and on a straight line: $$m\angle 10 = 180 - m\angle 3 = 180 - 101 = 79^\circ$$ - For angle 11, use triangle sum with known angles. - Continue this process for all requested angles, applying triangle sums, linear pairs, and perpendicularity. 5. **Final answers:** $$m\angle 9 = 35^\circ$$ $$m\angle 10 = 79^\circ$$ $$m\angle 11 = 46^\circ$$ $$m\angle 12 = 70^\circ$$ $$m\angle 13 = 35^\circ$$ $$m\angle 14 = 80^\circ$$ $$m\angle 15 = 104^\circ$$ $$m\angle 16 = 62^\circ$$ $$m\angle 17 = 83^\circ$$ $$m\angle 18 = 101^\circ$$ $$m\angle 19 = 95^\circ$$