![]() Here are the steps to construct an angle with a compass: How to Construct an Angle with a Compass?Īn angle can be constructed by using two geometric tools, a compass and a ruler. For more detailed steps, check out the construction of angle with compass and ruler section in this article. These arcs intersect each other at various points which form perpendicular lines that make an angle. Once a ray is drawn, a compass is used to mark arcs according to any measured radius. To construct an angle with any degree of measure, we need to make use of a geometric tool called a compass. We can use either protractor or a compass to construct angles of a specific measurement. ![]() They can be directly used to measure any angle within the range of 0° to 180° using the markings. Most protractors measure angles in degrees and are divided into 180 equal parts. FB is the angle bisector and now, ∠ABF and ∠FBC will measure 30 degrees each.Īn angle can be measured using a protractor which is a semi-circular disc used to draw and measure angles. Now with D and E as the centers draw two arcs such that they intersect at a point.With B as the center and with more than half of BC as radius draw an arc on both the arms, which is AB and BC, and mark these points where the arc touches the line segments as D and E respectively.Let us name the vertices of the angle as A, B, and C such that angle ABC = 60 degrees. Draw a given angle using a protractor (say 60°).To construct an angle bisector, follow the steps given below: On AB from the right, we start counting from 0° in the counter-clockwise direction and finally mark a point C showing 60° on the semi-circular edge of the protractor.Īn angle bisector divides a given angle into two congruent angles.Then, we place the midpoint of the protractor at point A.Now, we place the protractor on the line segment AB.We draw a line segment AB of any suitable length.For example, we can construct an angle of 60° using a protractor by following the steps given below. How to Construct an Angle with a Protractor?Īny angle between 0° and 180° can be easily constructed using a protractor. Now ∠FAB is a right angle that measures 90 degrees. With D and E as the centers and the same radius, draw two arcs intersecting at a point F.With D as the center and with the same radius, draw an arc such that it cuts the arc at E.Now, with C as the center and with the same radius as in the previous step, draw an arc intersecting the previously drawn arc at D.Draw a line segment AB and with A as the center and any radius, draw an arc such that it cuts AB at point C.To construct a right angle, follow the steps given below: How to Construct a Right Angle?Ī right angle is an angle whose measure is equal to 90 degrees. This is considered to be the "pure" form of geometric constructions. The construction of angles refers to constructing different angles such as 30°,45°, 60°,90° using a compass, protractor, ruler, and a pencil. ![]() Now ∠RAB and ∠FAR are equal to 45° each.Ĭheck out some interesting articles related to the construction of angles.įAQs on Construction of Angles What is Construction of Angles? Mark the point of intersection of these arcs as R.
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