Explain two procedures that you can use to draw adjacent angles with given measures.

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Mathematics

Eliana Cole

25 August, 16:17

Explain two procedures that you can use to draw adjacent angles with given measures.

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Maxwell Anderson · Answer 1

Procedure Nº 1

For example, if you you are asked to draw adjacents angles of 60º, you can construct an Obtuse Triangle (using a ruler and and a protractor to mesure the angles or you can use a compass) with angles of 30º,30º and 120º. You can bisect the angle of 120º, and you will obtain two adjacents angles of 60º.

Procedure Nº 2

If you are asked to draw adjacents angles of 30º, you can construct a triangle with angles of 60º, 60º and 60º, which is known as "Equiangular triangle" (All the three interior angles have the same value). You can use a ruler and a protactor, or the ruler and a compass to make this, because the sides of this triangle have the same lenght, so you can draw a segment, then you must open the compass with that measure and making a mark to complete the triangle. Then, you can bisect one of the angles and you will have two adjacent angles of 30º.