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| Math Central | Quandaries & Queries |
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Question from James, a student: Hello, Question: In the triangle ABC, X is a point on AC. AX = 15 m and XC = 5 m. The angle AXB is 60 degrees and the angle ABC is 120 degrees. Find the length of BC. I am sure to an extent that this has to do with similar triangles, but I am not certain. Many thanks, James |
James,
Since angle BXA is 60 degrees angle XAB plus angle ABX is 180 - 60 = 120 degrees.
Since angle ABC is 120 degrees angle ABX plus angle XBC is 120 degrees.
Thus angle XAB equals angle XBC.
Does this help?
Harley
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