How to construct (draw) a 45 degree angle with compass and

This page shows how to construct (draw) a 45 degree angle with compass and straightedge or ruler. It works by constructing an isosceles right triangle, which has interior angles of 45, 45 and 90 degrees. We use one of those 45 degree angles to get the result we need. See the proof below for more details. A Euclidean construction.

Construct a 45 Degree Angle (solutions, examples, videos)

Draw an angle ABC of measure 45∘, using ruler and compass. Now draw and ∠ DBA of measure 30∘ using ruler and compass as shown in the figure, What is the measure of ∠ DBC?

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