Question

. In a circle with center O, one arc measures 60 degrees. Construct the diagram and find the measure of another arc. Name the arcs and show in figure.​

Answer 1

Answer:

Constructing An Angle of 60 Degrees

In geometry, construction is the process of drawing a figure, shape, or many different types of angles. We draw such shapes using geometrical instruments like a compass, protractor, a ruler. While constructing angles we use a compass to draw arcs and a ruler to draw line segments and measure their lengths. We can draw an angle of 60 degrees using either of the two geometrical tools, a protractor or a compass. In this mini-lesson, we will learn how to construct an angle of 60 degrees using a protractor and a compass in detail.

Constructing 60-Degree Angle Using a Protractor

Construction of angles with the help of a protractor is a very easy method. A protractor is a geometrical tool that can be used to measure as well as draw angles. Let us explore the steps which tell us about constructing an angle of 60-degrees with the help of a protractor.

Read the given steps and try it urself.

Step 1: With the help of a ruler and pencil draw a line segment AB.

Step 2: Now mark the center of the line segment as O.

Step 3: Take a protractor and place the protractor at point O.

Step 4: Now look for 60 degrees angle in the protractor (at the outer circle of the protractor), mark a dot, and name it C.

Step 5: Now join the points O and C.

Step 6: After joining the lines we will have ∠AOC = 60°.

Observe the given image of constructing an angle of 60 degrees using a protractor.

Constructing 60-Degree Angle Using a Compass

Construction of angles with the help of a compass is slightly difficult as compared to construction with the help of a protractor. A compass is a geometrical tool used to draw arcs and circles. Let us explore the steps which tell us about constructing an angle of 60-degrees with the help of a compass.

Suppose that you have a line L and some point A on L just like shown in the figure.

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