An angle bisector is a straight line that divides the angle into two equal parts. Example: Solution: Step 2: Put the sharp end of the compasses at S and make an arc within the lines AB and BC. Do the same at T and make sure that the second arc intersects the first arc. Step 3: Draw a line from point B to the points of intersection of the 2 arcs. This line bisects ∠ABC. The steps to construct an angle bisector can be summarized as follows:
How to draw an angle bisector using a compass and a straight edge?
How to bisect a given angle using only a compass and straightedge?
Use Angle Bisector To Construct AnglesWe can use the angle bisector to construct some other angles from existing angles. For examples: A 30˚ angle can be obtained by bisecting a 60˚ angle. A 15˚ angle can be obtained by bisecting a 30˚ angle. A 45˚ angle can be obtained by bisecting a 90˚ angle. A 22.5˚ angle can be obtained by bisecting a 45˚ angle. Example: Solution: How to construct 30, 45, 60, 90, and 120 degree angles with a compass by constructing angle bisectors?
How to construct a 75° angle by constructing a 60° angle and a 15° angle?
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page. |