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Measure that angle III (Posted on 2004-09-07) Difficulty: 4 of 5
Triangle ABC has side AB=AC, and angle BAC = 20 degrees.

D is a point on side AC with AD=BC. Find angle DBC.

Solve this without trigonometry.










See The Solution Submitted by Brian Smith    
Rating: 3.2000 (5 votes)

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Solution Mmmm. An answer, Maybe, | Comment 1 of 25
Firstly Draw the shape above, without the triangle ABD, as accurately as possible.

Then, rotate about point B until BC is on line BD.
Keep on doing this until Point A on the copied drawing lines up exactly with point A on the original.

Then use the formula 360/(No. of steps/No of rotations) to give the angle DBC.

This is an untidy way, but the result would be correct.

  Posted by Juggler on 2004-09-07 19:17:00
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