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another that makes no sense...

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paddycar | 12:18 Fri 09th Jun 2006 | Quizzes & Puzzles
5 Answers
A right triangle ABC is given, where angle B = 90 degrees. The side AB is extended past angle B so that an exterior angle X is formed. What is the measure in degrees of angle X?
45 DEGREES
55 DEGREES
180 DEGREES
90 DEGREES
50 DEGREES
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90 deg . Why does it make no sense?
Makes sense: draw rt angle triangle: point b vertically below a and point c horizontally across from b (angle B = 90). Now continue line ab thru point b. The angle between that line and the triangle base is 90.
I say the exterior angle is 180 degrees and the interior angle is 90 degrees.
Don't agree, barmy, I think it boils down to definition of interior and exterior angles. See http://www.mathsisfun.com/geometry/exterior-an gles.html

It's also a (reasonably) well-known mathematical proof that the exterior angle is equal to the sum of the other two interior angles of the triangle, which also gives us 90 degrees as the answer.

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