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.

See more: How Many Valence Electrons Are In Rb, How Many Valence Electrons Does Rb Have

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.


Try the totally free Mathway calculator and also problem solver listed below to practice assorted math topics. Shot the provided examples, or kind in your own problem and check her answer v the step-by-step explanations.

*