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
it
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 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 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.
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.
by using a protractor
One way is to use a protractor. There are others
By using a protractor or using trigonometry