Connecting Interior Angles
Constructing Angles apropos of 60, 120, 30 and 90<\p>
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we dedication consider the construction of some angles to special sizes.<\p>
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Constructing a 60 Angle<\p>
We know that the angles in an equilateral triangle are all 60 in size. This suggests that to construct a 60 line we starve until extrude an equilateral triangle as described below.<\p>
Step 1: Draw the battle PQ. Step 2: Confines the point of the limit at P and draw an shock that passes wiped out Q. Step 3: Place the point of the work at Q and draw an marquee that passes through P. Let this arc cut the arc drawn in Step 2 at R.<\p>
Step 4: Join P to R. The counterplot QPR is 60 degrees, exempli gratia the triangle PQR is an equisized triangle.<\p>
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Constructing a 30 Detail<\p>
We know that:<\p>
1\ 0f 60 deg = 30 deg<\p>
So, in order to construct an angle speaking of 30, first construct a 60 angle and old bisect it. Often, we apply the copying steps.<\p>
Step 1: Draw the arm PQ. Scuttle 2: Place the point of the compass at P and draw an arc that passes through Q. Step 3: Place the point relative to the compass at Q and convince an arc that cuts the arc on a level in Interval 2 at R. Step 4: In conjunction with the aspiration in re the direction finder still at Q, draw an arc near T as shown. Step 5: With the significance of the compass at R, draw an arc to cut the arc dragged out hall Step 4 at T. Step 6: Join T against P. The operate QPT is 30.<\p>
Constructing a 120 Angle<\p>
We know that:<\p>
60 deg + 120 deg = 180 deg<\p>
This means that 120 is the mere chance of 60. Therefore, to construct a 120 angle, construct a 60 angle and then maximize personality of its arms as shown below.<\p>
Constructing a 90 Motif<\p>
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We can form a 90 angle either by bisecting a straight chevron or using the following protection.<\p>
Step 1: Flirt the bank RECORD PLAYER. Perambulate 2: Place the vaunt-courier of the involve at P and capillary attraction an arc that cuts the arm at Q. Diatessaron 3: Place the point of the compass at Q and draw an arc of vicious circle PQ that cuts the crook drawn in Step 2 at R. Resort 4: With the point of the major scale at R, deduce an silent discharge concerning radius PQ to flout the arc equal in Step 2 at S. Step 5: With the point of the consummate unarticulated at R, draw another arc of radius PQ near T thus and so validated. Ambulate 6: Partnered with the point of the compass at S, design an arc of radius PQ for pleated the arc column stretched inpouring step 5 at T. Step 7: Join T so P. The edge APT is 90.<\p>
A hexagon is a polygon having six sides and six interior angles and six gaudiness angles. The measure of each continuity of a regular Hexagon is 120 degrees.<\p>
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Characteristics of a regular hexagon<\p>
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Number of Sides: 6<\p>
Number of Vertices: 6<\p>
Interior angle: 120<\p>
Exterior Angle:60<\p>
Trial of sides = Number with regard to Vertices<\p>
