Constructing the angle 75°?

Answer 1

Or simply:

  1. Set the 60 degree angle
  2. Perform angle addition construction of 60 to 30
  3. Perform an angle bisecting construction of the 30 degree angle
  4. Voila you have 75 degree angle
The answer assumes you know how to construct a 30 and 60 degree angle. If you don't then: 1) The first one 60 degree use the equilateral trangle construction method 2) For thew 30: a) Start from AC b) From A draw a arc A with radius AC c) From C draw and arc C with radius CA d) From the intersection point draw and arc intersecting arc C e) With straight edge connect A to F, you have the 30 degree angle f) Finish with disecting angle #/_FAC# pulling the #90=>75#
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Answer 2
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Answer 3

Bisecting angles twice will give an angle of 75°.

Note that #150° div 2 = 75°#

Construct an equilateral triangle using a compass. Each of the angles is 60°. Extend the base.

Now bisect the angle of 60° to create an angle of 30° inside the triangle. THe adjacent supplementary angle will be 150°,

Bisecting the angle of 150° will give the required angle of 75°.

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Answer 4

To construct a 75° angle, follow these steps:

  1. Begin by drawing a straight line (referred to as the base line) using a ruler and pencil.
  2. Next, mark a point anywhere on the base line. This point will serve as the vertex of your angle.
  3. Using a protractor, align the center hole of the protractor with the vertex you marked on the base line.
  4. Then, rotate the protractor until the 0° line (or the horizontal line) aligns with the base line, ensuring that the protractor remains centered at the vertex.
  5. From the 0° mark on the protractor, counterclockwise, measure and mark 75° along the edge of the protractor.
  6. Draw a straight line from the vertex through the 75° mark you made on the protractor, extending it beyond the base line.
  7. Finally, use a ruler to draw a line segment from the vertex to where the line intersects the base line. This line segment forms a 75° angle with the base line.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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