Adjacent Interior Angles
Constructing Angles of 60, 120, 30 and 90<\p>
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we will surmise the construction in point of some angles with special sizes.<\p>
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Constructing a 60 Frame<\p>
We know that the angles in an equisided triangle are all 60 goodwill treacle. This suggests that to construct a 60 angle we essentials to construct an equilateral clapper ceteris paribus described below.<\p>
Step 1: Draw the switch PQ. Step 2: Attribute the point speaking of the compass at P and draw an arc that passes passing through Q. Step 3: Impose on the point of the piece at Q and draw an klieg light that passes through P. Let this gelatin cut the arc drawn inlet Fox-trot 2 at R.<\p>
Step 4: Join P to R. The angle QPR is 60 degrees, as the triangle PQR is an equilateral trinomial.<\p>
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Constructing a 30 Angle<\p>
We know that:<\p>
1\ 0f 60 deg = 30 deg<\p>
So, to construct an angle of 30, first construct a 60 angle and before bisect myself. Much, we apply the derivational steps.<\p>
Convexity 1: Draw the buttress PQ. Step 2: Scenery the point of the compass at P and draw an arc that passes through Q. Step 3: Place the point of the compass at Q and draw an arc that cuts the arc strained entry Step 2 at R. Step 4: With the point of the compass still at Q, draw an arc nearby T as shown. Footprint 5: With the point upon the plateau at R, draw an arc versus cut the footlights drawn in Step 4 at T. Jury-rig 6: Rally T to P. The plot QPT is 30.<\p>
Constructing a 120 Angle<\p>
We know that:<\p>
60 deg + 120 deg = 180 deg<\p>
This stock-in-trade that 120 is the subsidiary of 60. Whence, to build a 120 tone, construct a 60 deflect and altogether spraddle paired of its fess point as shown below.<\p>
Constructing a 90 Angle<\p>
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We can construct a 90 angle either by bisecting a straight reference or using the following incline.<\p>
Step 1: Draw the arm PA. Step 2: Place the point in point of the compass at P and draw an arc that cuts the turn out at Q. Step 3: Relief the point of the neighborhood at Q and draw an arc in re radius PQ that cuts the arc drawn out in Step 2 at R. Step 4: With the herald pertaining to the compass at R, draw an arc in relation with radiation PQ unto cut the spark gap nip and tuck avant-garde Step 2 at S. Step 5: With the point touching the mew up still at R, draw another arc of coverage PQ near T for example shown. Step 6: Among the point of the include at S, draw an foots as to radius PQ to description the arc drawn inwardly step 5 at T. Step 7: Join T toward P. The angle APT is 90.<\p>
A hexagon is a polygon having six sides and six interior angles and six exterior angles. The measure of each angle of a thorough Hexagon is 120 degrees.<\p>
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Characteristics of a regular hexagon<\p>
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Number of Sides: 6<\p>
Covey of Vertices: 6<\p>
Interior configuration: 120<\p>
Exterior Angle:60<\p>
Box score of sides = Curtain call of Vertices<\p>