Q: To construct an angle equal to a given angle you need a pencil and a?

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Adjust the compass to the given line segment then construct the circle.

1 plus 2 is equal to 3

a regular octagon has the same length all sides. so with the given angle draw 8 sides at an angle of 135 degrees from each other

Use trigonometry knowing that the angle will be 60 degrees

The three problems were: * To construct a square with area equal to a given circle ("squaring the circle"). * Given a cube, to construct the edge length of another cube which would have double the volume of the given cube ("duplicating the cube") * Given an arbitrary angle, to construct an angle one third that of the given angle ("angle trisection"). These problems were to be solved using compass and unmarked straight-edge only. It is apparently not known who first proposed these problems. Two of them (squaring the circle and angle trisection) date to at least 100 years before Euclid. The problem of duplicating the cube also predates Euclid, though maybe not by 100 years. In the 19th century, all three problems were shown to be impossible with the restriction to compass and straight-edge. (Despite this, people persist in trying, but they have to be classified as cranks.) Even in ancient times, methods of solution were given, but they used more than just a compass and straight-edge.

Related questions

Sure - just bisect it twice.

Adjust the compass to the given line segment then construct the circle.

1 plus 2 is equal to 3

a regular octagon has the same length all sides. so with the given angle draw 8 sides at an angle of 135 degrees from each other

Use trigonometry knowing that the angle will be 60 degrees

Assuming the angle is given in radians, it is -0.9939

The three problems were: * To construct a square with area equal to a given circle ("squaring the circle"). * Given a cube, to construct the edge length of another cube which would have double the volume of the given cube ("duplicating the cube") * Given an arbitrary angle, to construct an angle one third that of the given angle ("angle trisection"). These problems were to be solved using compass and unmarked straight-edge only. It is apparently not known who first proposed these problems. Two of them (squaring the circle and angle trisection) date to at least 100 years before Euclid. The problem of duplicating the cube also predates Euclid, though maybe not by 100 years. In the 19th century, all three problems were shown to be impossible with the restriction to compass and straight-edge. (Despite this, people persist in trying, but they have to be classified as cranks.) Even in ancient times, methods of solution were given, but they used more than just a compass and straight-edge.

Squaring the Circle

It is an asymptote.

You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. How many triangles can you construct using these measurements?

Complement of a given angle = (90 - given angle) Supplement of a given angle = (180 - given angle)

First find 180 minus the vertex angle and divide that by 2 to get the other angles. Then solve the other sides by using sin(vertex angle)/base=sin(other angles)/other sides.