1958 AMC 12 Problem 29
Attempt Problem 29 of the 1958 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1958 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
29.
In a general triangle (as shown), lines and are drawn. Which of the following angle relations is true?
Answer: E
Small hint:
Write the angle sum in triangle
Big hint:
Write the angle sum in triangle , then compare the two equations
Solution:
Triangle gives Triangle gives Equating the left sides and cancelling yields
Thus, the correct answer is E.
Problem 29 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
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