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How to add two angles with compass and straightedge or ruler

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Shows how to construct add one given angle to another using a compass and straightedge or ruler. A proof is shown. A Euclidean construction

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Given 2 numbers (a,b) it is possible to perform geometrically the following algebraic operations: a+b, a−b, a*b, a/b. Use only a straight edge and compass to show each operation?

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Angelo drew two lines meeting at a right angle. What is the smallest number of extra lines he could draw inside his right angle, as shown, so that for any of the

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