Copy an angle construction

Why does copying an angle work?

Copying an Angle It works by creating two congruent triangles.

How do you construct an angle?

Constructing a 60º Angle Step 1: Draw the arm PQ. Step 2: Place the point of the compass at P and draw an arc that passes through Q. Step 3: Place the point of the compass at Q and draw an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R.

What is copying an angle?

The basic idea behind copying a given angle is to use your compass to sort of measure how wide the angle is open; then you create another angle with the same amount of opening. Copying an angle . Refer to the figure as you work through these steps: Draw a working line, l, with point B on it.

What is the final step in copying an angle?

Draw a ray through the new vertex and the intersection point of the two rays. Draw a ray with one endpoint. This endpoint will be the vertex of the new angle .

How do you copy an angle bisector?

Construction: bisect ∠ABC. STEPS: Place compass point on the vertex of the angle (point B). Stretch the compass to any length that will stay ON the angle . Swing an arc so the pencil crosses both sides (rays) of the given angle . Place the compass point on one of these new intersection points on the sides of the angle .

What is a 150 angle?

In geometry, there are three types of angles : acute angle -an angle between 0 and 90 degrees. right angle -an 90 degree angle . obtuse angle -an angle between 90 and 180 degrees.

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What type of angle is 135?

obtuse angle

What is a 120 degree angle called?

Number of degrees Type of angle Reason
60 Acute < (less than) 90 degrees
120 Obtuse > (greater than) 90 degrees
170 Obtuse > (greater than) 90 degrees
90 Right angle = 90 degrees

Which angles can be constructed?

On other pages there are instructions for constructing angles of 30°, 45°, 60° and 90°. By combining them you can construct other angles . Adding angles .

To make Combine angles
105° 45° + 60°
120° 30° + 90° or 60° + 60°
135° 90° + 45°
150° 60° + 90°