By Bloch S. (ed.)

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**Extra info for Algebraic Geometry - Bowdoin 1985, Part 1**

**Sample text**

Com finding missing angles Great. Whatever. But what on earth has working out the angle behind the corner of the building got to do with proving that Benny shot Micky all the way over on the other side? Often you need to solve the puzzle piece by piece. Each individual angle on the sketch doesn’t tell you much, but together they make up an accurate picture that shows you how every part fits in relation to the other parts. It would be great to jump straight to the most important angle—if you even knew what that was—but usually we need to find a bunch of less exciting stuff to help us get there.

Com finding missing angles The angles of a four-sided shape add up to 360º Squares and rectangles have four equal angles, a quarter turn each, and even the most uneven foursided shape still has four angles adding up to 360º. 60º The four corners of this shape… …come together to make this. 82º 115º 103º 115º 82º 60º 103º Let’s step the investigation up a gear! Find the mystery angles marked on the crime scene diagram, a, b, c, d, e, f, and the all important angle, g, which lets us work out the bounce angles.

Com finding missing angles Pairs of angles that add up to 180º are called supplementary angles Any two angles which add up to 180º are known as supplementary angles. They are easiest to spot when they’re on a straight line, but they can also be far apart. These two angles must be supplementary. 81º They would still be supplementary even if they weren’t touching, but we couldn’t be sure without knowing what angle b is. 81º bº bº Use supplementary angles to find mystery angles a and b. Is there anything surprising about mystery angle a?