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Construction of angle of 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165

FAQs on Construction of angle of 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165 and 180 degree

1. How can I construct an angle of 30 degrees?
Ans. To construct an angle of 30 degrees, follow these steps: 1. Draw a straight line and mark a point 'O' as the vertex of the angle. 2. Place the compass on point 'O' and draw an arc that intersects the line at two points, A and B. 3. With the compass still set at the same width, place the compass on point A and draw an arc that intersects the previous arc. 4. Draw a line from point O to the intersection point of the arcs. This line will form a 30-degree angle with the original line.
2. How can I construct an angle of 90 degrees?
Ans. To construct an angle of 90 degrees, follow these steps: 1. Draw a straight line and mark a point 'O' as the vertex of the angle. 2. Place the compass on point 'O' and draw an arc that intersects the line at two points, A and B. 3. Without changing the compass width, place the compass on point A and draw an arc that intersects the first arc. 4. Draw a line from point O to the intersection point of the arcs. This line will form a 90-degree angle with the original line.
3. How can I construct an angle of 150 degrees?
Ans. To construct an angle of 150 degrees, follow these steps: 1. Draw a straight line and mark a point 'O' as the vertex of the angle. 2. Place the compass on point 'O' and draw an arc that intersects the line at two points, A and B. 3. With the compass still set at the same width, place the compass on point A and draw an arc that intersects the previous arc. 4. Without changing the compass width, place the compass on point B and draw another arc that intersects the first arc. 5. Draw a line from point O to the intersection point of the arcs. This line will form a 150-degree angle with the original line.
4. How can I construct an angle of 165 degrees?
Ans. To construct an angle of 165 degrees, follow these steps: 1. Draw a straight line and mark a point 'O' as the vertex of the angle. 2. Place the compass on point 'O' and draw an arc that intersects the line at two points, A and B. 3. With the compass still set at the same width, place the compass on point B and draw an arc that intersects the previous arc. 4. Without changing the compass width, place the compass on point A and draw another arc that intersects the first arc. 5. Draw a line from point O to the intersection point of the arcs. This line will form a 165-degree angle with the original line.
5. How can I construct an angle of 180 degrees?
Ans. To construct an angle of 180 degrees, follow these steps: 1. Draw a straight line and mark a point 'O' as the vertex of the angle. 2. Draw a line segment from point O that extends in any direction. 3. This line segment itself forms a 180-degree angle with the original line.
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