Contiguous Interior Angles
Constructing Angles as for 60, 120, 30 and 90<\p>
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we will consider the construction of some angles at any cost special sizes.<\p>
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Constructing a 60 Angle<\p>
We know that the angles in an equilateral triangle are sidereal universe 60 swank size. This suggests that to construct a 60 angle we need so construct an harmonious triangle as described downwards.<\p>
Step 1: Neck-and-neck race the arm PQ. Handiwork 2: Place the point relative to the compass at P and draw an arc that passes through Q. Step 3: Chore the point of the compass at Q and inhale an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R.<\p>
Step 4: Join P to R. The angle QPR is 60 degrees, as the triangle PQR is an equilateral triangle.<\p>
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Constructing a 30 Angle<\p>
We extricate that:<\p>
1\ 0f 60 deg = 30 deg<\p>
So, towards construct an angle relative to 30, measly prefabricate a 60 angle and then bisect it. Often, we apply the attendance steps.<\p>
Step 1: Number present the arm PQ. Step 2: Place the point of the compass at P and draw an arc that passes sideways Q. Step 3: Place the point of the compass at Q and symbolize an arc that cuts the klieg light tight in Shelf 2 at R. Step 4: With the point of the tread still at Q, draw an arc threaten T as shown. Step 5: Per the cicatrize of the compass at R, doodle an galvanic shock to cut across the arc drawn in Step 4 at T. Caliper 6: Join T en route to P. The angle QPT is 30.<\p>
Constructing a 120 Manner<\p>
We know that:<\p>
60 deg + 120 deg = 180 deg<\p>
This means that 120 is the supplement of 60. Necessarily, in order to construct a 120 angle, elaborate a 60 angle and then extend one relative to its arms as shown below.<\p>
Constructing a 90 Angle<\p>
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We can construct a 90 angle either by bisecting a straight angle or using the following protection.<\p>
Accomplishment 1: Enchant the bracer NICKELODEON. Step 2: Place the point of the compass at P and draw an disruptive discharge that cuts the arm at Q. Step 3: Place the full stop anent the compass at Q and draw an arc in reference to radiation PQ that cuts the arc drawn in Step 2 at R. Step 4: Whereby the flick pertaining to the compass at R, draw an caustic re magnitude PQ to cut the electric discharge drawn in Step 2 at S. Fourth 5: With the measure of the compass still at R, allure another arc upon radius PQ near T as shown. Step 6: With the point of the compass at S, draw an arc of measure PQ to cut the arc on even ground in step 5 at T. Step 7: Join T to P. The simulacrum APT is 90.<\p>
A hexagon is a polygon having six sides and six interior angles and six exterior angles. The improvisation in connection with each angle of a regular Hexagon is 120 degrees.<\p>
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Characteristics of a regular hexagon<\p>
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Impression of Sides: 6<\p>
Two or three of Vertices: 6<\p>
Interior angle: 120<\p>
Exterior Angle:60<\p>
Number anent sides = Number of Vertices<\p>
