Constructing a 30° angle

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After doing this Your work should look like this
1. Draw a line segment which will become one side of the angle. (Skip this step if you are given this line.) The exact length is not important. Label it PQ. P will be the angle's vertex. [画像:Geometry construction with compass and straightedge or ruler or ruler]
2. Set the compasses on P, and set its width to any convenient setting. [画像:Geometry construction with compass and straightedge or ruler or ruler]
3. Draw an arc across PQ and up over above the point P. Label the point where it crosses PQ as point S. [画像:Geometry construction with compass and straightedge or ruler or ruler]
4. Without changing the compasses' width, move the compasses to the point S. Draw a broad arc that crosses the first one and goes well to the right. Label the point where the two arcs cross as point T. [画像:Geometry construction with compass and straightedge or ruler or ruler]
5. Without changing the compasses' width, move the compasses to the point T, and draw an arc across the previous arc, creating point R. [画像:Geometry construction with compass and straightedge or ruler or ruler]
6. Draw a line from P to R. [画像:Geometry construction with compass and straightedge or ruler or ruler]
Done. The angle QPR has a measure of 30° [画像:Geometry construction with compass and straightedge or ruler or ruler]

Other constructions pages on this site

Lines

Angles

Triangles

Right triangles

Triangle Centers

Circles, Arcs and Ellipses

Polygons

Non-Euclidean constructions

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