By drawing regular polygons as for instance a square will have 4 equal right angles and an equilateral triangle will have 3 equal 60 degree angles.
With a straight edge and a protractor
Well, honey, making an 82-degree angle with a compass is as easy as pie. Just start by drawing a straight line with your ruler. Then place the point of your compass on one end of the line and swing an arc that intersects the line. Finally, use your protractor to measure the angle between the two lines, and voila, you've got yourself an 82-degree angle. Easy peasy lemon squeezy!
A protractor is normally used to construct angles.
You cannot, you must use a protractor.
An angle of 65° can not be trisected using a compass and straight edge.
It is easy to draw an equilateral triangle without a protractor. That gives a 60 degree angle. It is then simply a matter of bisecting the 60 degree angle, using an unmarked rule and compass, to get a 30 degree angle.
With a straight edge and a protractor
In conjunction with a straight edge and a protractor
To find angle measures without a protractor, you can use geometric principles and tools like a compass and straightedge. For instance, you can create congruent angles by copying an angle using a compass, or use the properties of triangles, such as the fact that the sum of the interior angles in a triangle is always 180 degrees. Additionally, you can apply trigonometric ratios in right triangles if you have side lengths available.
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Use a protractor to measure the angle. Divide that number by 3 and that is the required angle. In general, an angle cannot be trisected using a compass and straight edge.
To draw an angle complementary to a 40-degree angle without a protractor, first draw a straight line using a ruler. Then, use a compass to mark a point on the line as the vertex of the angle. Set the compass to a width that can create an arc, and draw an arc that intersects the straight line, marking two points. Next, without changing the compass width, place the compass point on one of the intersection points and draw another arc above the line. Repeat this from the other intersection point, creating two arcs that intersect. Finally, draw a line connecting the vertex to the intersection of the arcs, which will give you a 50-degree angle, complementary to the original 40-degree angle.
To create an 85-degree angle with a compass, first draw a straight line (the base of the angle). Place the compass point on one end of the line and draw an arc that intersects the line. Without changing the compass width, place the compass point on the point of intersection and draw another arc. Measure 85 degrees using a protractor from the base line to mark the angle, then draw a line from the vertex to this mark to complete the angle.
To draw a 40-degree angle using a compass, start by drawing a straight line and marking a point on it as the vertex. Place the compass point on the vertex and draw an arc that intersects the line. Without changing the compass width, place the compass point on the intersection and draw another arc. Finally, adjust the compass to a width that corresponds to 40 degrees (using a protractor for reference), and draw an arc from the vertex to intersect the previous arc. Connect the vertex to this intersection to form the 40-degree angle.
Well, honey, making an 82-degree angle with a compass is as easy as pie. Just start by drawing a straight line with your ruler. Then place the point of your compass on one end of the line and swing an arc that intersects the line. Finally, use your protractor to measure the angle between the two lines, and voila, you've got yourself an 82-degree angle. Easy peasy lemon squeezy!
You can never really be certain about the measure of an angle without using a protractor, or some similar tool. Usually, you can try to "eyeball" it, though. Just remember that a right angle is the same as an angle in a square. It is also a quarter of a whole revolution.
To accurately measure angles using a protractor, place the center of the protractor on the vertex of the angle. Align one side of the angle with the zero line on the protractor. Read the measurement where the other side of the angle intersects the protractor scale.