Problem:
The angles of quadrilateral satisfy . What is the degree measure of , rounded to the nearest whole number?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let be the degree measure of . Then the degree measures of angles , and are , and , respectively. The degree measures of the four angles have a sum of 360 , so
Thus .
The problems on this page are the property of the MAA's American Mathematics Competitions