1996 AJHSME Problems/Problem 24
Contents
[hide]Problem
The measure of angle is , bisects angle , and bisects angle . The measure of angle is
Solution
Let , and let
From , we know that , leading to .
From , we know that . Plugging in , we get , which is answer .
Solution 2
Contruct through and intersects at point
By Exterior Angle Theorem,
Similarly,
Thus,
Let
Because and are angle bisectors,
Thus, the answer is
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See Also
1996 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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