1. **Stating the problem:** Find the measure of the angle marked with a letter in diagram 2(e), where angles 91° and 36° are given in a figure with points A, B, C, D, E. 2. **Understanding the figure:** The figure shows two parallel lines intersected by two other parallel lines, creating angles 91° and 36° at points A and C respectively. 3. **Key rule:** When two parallel lines are cut by a transversal, alternate interior angles are equal, and consecutive interior angles are supplementary (sum to 180°). 4. **Identify the angle to find:** The angle marked with a letter is angle B (between points C and D). 5. **Calculate angle B:** Since angle A is 91°, and angle B is adjacent to angle A on a straight line, they are supplementary. 6. **Use the supplementary angle rule:** $$\text{angle B} = 180^\circ - 91^\circ = 89^\circ$$ 7. **Check with angle C:** Angle C is 36°, and angle B and angle C are on the same line with angle D, so the sum of angles B and C should be 180° if they are on a straight line. 8. **Verify:** $$89^\circ + 36^\circ = 125^\circ \neq 180^\circ$$ So angle B and C are not on a straight line, but angle B is correctly found as 89° based on the supplementary rule with angle A. **Final answer:** $$\boxed{89^\circ}$$