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A compass and a straight edge.

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Q: To construct an angle equal to a given angle you need a pencil and a?
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How do you construct a circle that has radius with an equal length to the given line segment?

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


Explain how you can find the measure of an angle complementary to a given angle an angle supplementary to a given angle?

1 plus 2 is equal to 3


How do you construct an octagon with a given side?

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


How do you construct equilateral triangle if only altitude is given?

Use trigonometry knowing that the angle will be 60 degrees


Who wrote the 3 construction problems of antiquity?

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

Is it possible to construct an angle with one fourth the measure of a given angle?

Sure - just bisect it twice.


How do you construct a circle that has radius with an equal length to the given line segment?

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


Explain how you can find the measure of an angle complementary to a given angle an angle supplementary to a given angle?

1 plus 2 is equal to 3


How do you construct an octagon with a given side?

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


How do you construct equilateral triangle if only altitude is given?

Use trigonometry knowing that the angle will be 60 degrees


What does sin -1.46 equal?

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


Who wrote the 3 construction problems of antiquity?

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.


What is it called when you use a compass and a straightedge to construct a square exactly equal in area to a given circle?

Squaring the Circle


What is the name given to a line that divides an angle into two equal parts?

It is an asymptote.


You and rsquore 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 and deg. How many triangles can you construct using these measurem?

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?


How do you measure the complement and supplement of an angle in trigonometry?

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


How do you construct an isosceles triangle when base and angle at the vertex is given?

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.