We deserve to use the angle bisector technique to construct some other angles indigenous existing angles.

You are watching: How to construct a 45 degree angle

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

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

Example:The number shows a allude A on a directly line. Construct an edge of 45° at allude A.


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

Step 1: Stretch her compasses until it is an ext then half the length ofAB. Placed the sharp end at A and mark one arc above and an additional arc listed below line segment AB.


Step 2: Without transforming the width of the compasses, put the spicy endat B and mark arcs over and listed below the heat segment AB that will intersect v the arcs attracted in step 1.


Step 3: sign up with the 2 points where the arcs intersect with a directly line.This line is the perpendicular bisector the AB. Ns is the midpoint of AB.


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


In review the steps to build a 45° angle are:

Construct perpendicular lines to achieve a 90° angle.Bisect the 90° edge to achieve a 45° angle.

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

Step 2: Bisect the angle to obtain a 45-degree angle.

How to build a 30-degree edge without using a protractor?This video clip shows two means to build a 30-degree angle.The very first way beginning by constructing component of an equilateral triangle, climate bisecting the 60° angle.The second method starts by constructing a rhombus through 60° and 120° angles, climate joining theopposite vertices to leaving the 30° angle.

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

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