Construction of 60 Degree Angle
Construction of 60 Degree Angle
CONSTRUCTION OF 60 DEGREE ANGLE:
In order to construct an angle of with the help of ruler and compasses only, we follow the following steps:
Steps of Construction
STEP I Draw a ray OA. STEP II With centre O and any radius draw an arc PQ with the help of compasses, cutting the ray OA at P. |  |
| STEP III With centre P and the same radius draw an arc cutting the arc PQ at R. |  |
| STEP IV Join OR and produce it to obtain ray OB. |  |
| The angle |  |
Justification : Now, let us see how this method gives us the required angle of .
Join PR. Now In OP = OR = PR [PR is an arc equal to radius]
|  |
CONSTRUCTION OF AN ANGLE OF
In order to construct an angle of by using ruler and compasses only, we follow the following steps:
Steps of Construction
STEP I Draw a ray OA. STEP II With O as centre and any convenient radius, draw an arc PQ cutting OA at P. |  |
| STEP III With P as centre and the same radius draw an arc, cutting the arc PQ at R. Then taking R as centre and the same radius draw an arc cutting the arc PQ at S. |  |
| STEP IV Join OS and produce it to any point B. |  |
| |  |
Arrange the steps in a proper manner to construct an angle of 60 degree : 1. With P as the centre and same radius as in step II , draw another arc intersecting the previous arc at R. 2. Join OR and extend it to B. 3. Draw a ray OA. 4. With O as the centre and a suitable radius draw an arc intersecting OA at P. | |||
| Right Option : C | |||
| View Explanation | |||
Arrange the following steps in a correct order to construct a 600 angle as shown in the figure:
Step 1: Taking P as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at point R. Step 2: Join OB which is the required ray making 600 with line OA. Step 3: Draw a line segment OA. Step 4: Now, taking O as centre and with a convenient radius, draw an arc of a circle which intersects line OA at P. | |||
| Right Option : C | |||
| View Explanation | |||
How many arcs are required to be drawn to construct an angle of 600 ? | |||
| Right Option : B | |||
| View Explanation | |||
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