We deserve to use the edge bisector an approach to build some various other angles native existing angles.

You are watching: How to lay out a 45 degree angle

Examples:A 30° angle can be obtained by bisecting a 60° angle. A 15° angle deserve to be obtained by bisecting a 30° angle. A 45° angle have the right to be acquired by bisecting a 90° angle. A 22.5° angle have the right to be derived by bisecting a 45° angle.

How to construct a 45° angle by bisecting a 90° angle?

Example:The figure shows a allude A ~ above a right line. Build an edge of 45° at point A.


Solution:Construct a 90° angle, and also then build an edge bisector to achieve a 45° angle.

Step 1: Stretch your compasses till it is more then half the length ofAB. Placed the sharp finish at A and mark an arc over and another arc listed below line segment AB.


Step 2: Without changing the width of the compasses, placed the spicy endat B and mark arcs over and below the heat segment AB that will certainly intersect with the arcs attracted in action 1.


Step 3: sign up with the two points wherein the arcs intersect v a right line.This line is the perpendicular bisector the AB. P is the midpoint the AB.


Step 4: Bisect the 90-degree angle to forma 45-degree angle.


In an introduction the steps to construct a 45° edge are:

Construct perpendicular currently to acquire a 90° angle.Bisect the 90° angle to achieve a 45° angle.

How to build a 45-degree angle making use of compass and also straightedge?Step 1: construct perpendicular present (90 degrees).

Step 2: Bisect that angle to gain a 45-degree angle.

How to construct a 30-degree edge without making use of a protractor?This video shows two methods to build a 30-degree angle.The an initial way starts by constructing component of an it is intended triangle, then bisecting the 60° angle.The second method starts by constructing a rhombus with 60° and also 120° angles, then joining theopposite vertices to leave the 30° angle.

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How to construct a 75-degree angle v a compass?Step 1: build 60-degree angle by constructing an it is intended triangle.Step 2: Bisect a 60-degree edge to kind a 30-degree angle.Step 3: Bisect the 30-degree angle to form a 15-degree angle.Step 4: combine a 60-degree angle v a 15-degree angle to form a 75-degree angle.

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