Question

Construct an angle of 15 degree using scale and compass only

Answer 1

To construct a 15-degree angle, you start by drawing a straight line, create a semicircle and construct a 60-degree angle. Repeat the process to make a 120-degree angle, and then subtract the 60-degree angle from the 120-degree angle. Finally, divide the resulting 60-degree angle into four equal parts to achieve a 15-degree angle.

Step-by-step explanation:

To construct an angle of 15 degrees with a scale and compass, follow these steps:

1. Draw a straight line using your scale.
2. Place the point of the compass at one end of the line, and draw a semi-circle.
3. Now, construct a 60-degree angle on this line by using the compass. From the same point where you drew the semi-circle, draw another semi-circle but on a larger radius. Where these two semi-circles intersect, you can draw an angle to the initial line - this will be a 60-degree angle.
4. Repeat the above step, but this time from the point of the 60-degree angle. This will give you a 120-degree angle.
5. Subtract the 60-degree angle from the 120-degree angle by drawing a line from the intersection point of your largest semi-circle and the 120-degree angle, to the point where your initial line and the 60-degree line intersect. This will leave you with a 60-degree angle.
6. Finally, to get your 15-degree angle, divide this 60-degree angle into four equal parts using your compass and scale. One of those parts will be your 15-degree angle.

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