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.
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#PROTRACTOR ANGLE HOW TO#
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. Step 8: Now with the same radius taken to draw an arc in step 2, draw two arcs with P and Q as centers.
Step 7: Label the point of intersection of the semicircular arc with the line AF as P.This line is called the perpendicular line and it makes 90 degrees with the line segment AB. Step 5: Now, with the same radius and with E and D as centers draw arcs that intersect each other at a point and label it as F.Step 4: Repeat the same process with D as the center and label the arc drawn as E.Step 3: Without any change in radius, draw another arc with Q as the center and label this point as D.Step 2: With A as the center and any width as radius draw a semicircular arc that touches the line segment AB and mark it as Q.In the steps shown below we will be constructing an angle of 90° and then construct an angle bisector to bisect the 90° such that we will get an angle of 45°. Let us learn how to construct an angle with a compass and a ruler. Finally, use the bottom edge of the protractor as a straight edge to draw a line between the two points.Constructing Angles with Compass and Ruler Rotate the protractor and line the bottom edge up between the vertex and the small dot. Now, find the hash mark on the protractor that corresponds with the angle you want to draw, and draw a small dot outside of it. Then, line the bottom edge of the protractor up with the vertex and draw a straight line along it. Draw a small dot in the hole on the protractor to mark the vertex. To draw an angle with a protractor, first place the center point along the bottom edge of the protractor where you want the vertex of the angle to be. If the angle is facing left, use the top row of numbers. If the angle is facing to the right, use the bottom row of numbers on the protractor. Follow the other leg of the angle up to the protractor’s arc to see what number it intersects with and find the degree of the angle. Line up the bottom edge of the protractor with one leg of the angle. To measure angles with a protractor, first place the center point along the bottom edge of the protractor over the vertex of the angle you're measuring. You can use a protractor to measure and draw angles.
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