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

You are watching: How to construct 45 degree angle

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

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

Example:The figure shows a suggest A top top a right line. Construct an edge of 45° at suggest A.


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

Step 1: Stretch your compasses until it is an ext then half the length ofAB. Put the sharp finish at A and also mark an arc over and one more arc listed below line segment AB.


Step 2: Without an altering the width of the compasses, put the spicy endat B and also mark arcs above and listed below the heat segment AB that will certainly intersect with the arcs attracted in action 1.


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


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


In summary the measures to construct a 45° angle are:

Construct perpendicular present to obtain a 90° angle.Bisect the 90° angle to achieve a 45° angle.

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

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

How to construct a 30-degree edge without utilizing a protractor?This video clip shows two means to build a 30-degree angle.The first way beginning by constructing part of an it is provided triangle, climate bisecting the 60° angle.The second method starts by building a rhombus v 60° and 120° angles, climate joining theopposite vertices to leaving the 30° angle.

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

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