Problem:
The consecutive angles of a trapezoid form an arithmetic sequence. If the smallest angle is , then the largest angle is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let be the common difference of the arithmetic sequence. Then , so and .
Since the opposite bases of a trapezoid are parallel, the smallest and largest angles must be supplementary, so the answer is .
Note. Any quadrilateral whose consecutive angles form an arithmetic sequence is a trapezoid.