Then, place the tip of the compass on “A” and draw an arc through the vertex line. Start by drawing a horizontal line and marking the left end “A” and the right end “B” to serve as the vertex of the angle. Triangle vertices are usually named A, B, and C. Triangle edges - a, b, c, where the letter denotes opposite vertex. Mark the left end as point O and the right end as point B. 900 seconds . See the proof below for more details. I draw a randomly perfect 60 degree angle. % of people told us that this article helped them. For example, to create a 45 degree angle, you can bisect a 90 degree angle. Draw a straight line of a suitable length, say 12 cm. Animation of how to construct a 30 Degree Angle using just a compass and a straightedge (ruler). Refer to the figure as you work through this construction: Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B. Place the compass point at both locations where the arc intersects the angle and draw an arc each time. Let's assume you want to bisect a 60° angle using a compass and straightedge. Now Angle PQS = 120 degree (as per Angle Sum Property); as shown below: Now, to construct at 150 degree angle, we will construct the angle bisector of above angle PQR. Draw a circle through, centered at. Mark the point they References. Reflex angle is the angle formed between the angles of 180 degree to 360 degree. The steps are still the same when the angle is right or obtuse. First, on a ray, set the compass at one endpoint and swing an arc from that endpoint. We know that: So, to construct an angle of 30º, first construct a 60º angle and then bisectit. Step 3:Place the compass pointer at P and mark an arc th… 3. To create this article, volunteer authors worked to edit and improve it over time. wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. (ii) To construct an angle of \(60^{\circ}\) . draw two more arcs, each centered where the arc intersects the perpindicular lines. 1. Before talking about an angle bisector, let us quickly recall the different types of angles in mathematics. This page shows how to construct (draw) a 60 degree angle with compass and straightedge or ruler. Bisect this to create a 45 degree angle. 60 degree is one of the most basic constructions, which facilitates constructing angles of several other measures. Construction on paper. Use angle bisection construction to make a 30 degree angle. The distance from point D to the 2 sides forming angle ABC are equal. (drawing of 60 degree angle) We'll now bisect this angle, or cut it in half, to make the 30 degree angle. First, make a 60 degree angle by constructing an equilateral triangle. Then, to make construct the 60 degree angle, draw a straight line from point B to the point where your two arcs cross, which I will label X. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/0\/03\/Construct-a-30-Degrees-Angle-Using-Compass-and-Straightedge-Step-1.jpg\/v4-460px-Construct-a-30-Degrees-Angle-Using-Compass-and-Straightedge-Step-1.jpg","bigUrl":"\/images\/thumb\/0\/03\/Construct-a-30-Degrees-Angle-Using-Compass-and-Straightedge-Step-1.jpg\/aid3263930-v4-728px-Construct-a-30-Degrees-Angle-Using-Compass-and-Straightedge-Step-1.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"