Question 4 (iii) Construct the following angles and verify by measuring them by a protractor: (iii) 135∘
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Solution
(iii) 135∘ Step to construct an angle of135∘ : 1. Draw a ray PQ, and extend PQ to the left side of P. Draw a semi-circle of some radius taking point P as its centre, which intersects PQ at R and W. 2. Taking R as the centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S. 3. Taking S as the centre and with the same radius as before, draw an arc intersecting the arc at T ( see figure). 4. Taking S and T as the centre, draw an arc of same radius to intersect each other at U. 5. Join PU, let it intersect the arc at V. Taking V and W centre and with radius more than 12VW, draw arcs to intersect each other at X. 6. Join PX, which is the required ray that makes an angle of 135∘with the ray PQ.
The angle so formed can be measured with the help of protractor . It comes to be 135∘