1960 AHSME Problems/Problem 38
Contents
[hide]Problem
In this diagram and are the equal sides of an isosceles , in which is inscribed equilateral . Designate by , by , and by . Then:
Solution
Since is an equilateral triangle, all of the angles are . The angles in a line add up to , so The angles in a triangle add up to , so Since is isosceles and , by Base-Angle Theorem, The answer is .
Video Solution
https://youtu.be/ZdM2ou5Gsuw?t=230
~MathProblemSolvingSkills.com
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 37 |
Followed by Problem 39 | |
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