#straight angle

Constructing Angles as for 60, 120, 30 and 90<\p>

<\p>

we will consider the construction of some angles at any cost special sizes.<\p>

<\p>

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>

<\p>

<\p>

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>

<\p>

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>

<\p>

Characteristics of a regular hexagon<\p>

<\p>

Impression of Sides: 6<\p>

Two or three of Vertices: 6<\p>

Interior angle: 120<\p>

Exterior Angle:60<\p>

Constructing Angles of 60, 120, 30 and 90<\p>

<\p>

we will surmise the construction in point of some angles with special sizes.<\p>

<\p>

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>

<\p>

<\p>

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>

<\p>

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>

<\p>

Characteristics of a regular hexagon<\p>

<\p>

Number of Sides: 6<\p>

Covey of Vertices: 6<\p>

Interior configuration: 120<\p>

Exterior Angle:60<\p>