Question

Construct the angles of the following measurements:
(iii) ${15}^{\circ }$

Answer 1

(iii) ${15}^{\circ }$
Steps to construct an angle of${15}^{\circ }$
Step 1: Draw a ray PQ, taking P a the centre and with some radius, draw an arc of a circle which intersects PQ at R.
Step 2: Taking R as the centre and with the same radius as before, draw an arc intersecting the previously drawn arc point S.
Step 3: Taking R and S as the centre and with radius more than $\frac{1}{2}RS$, draw arcs to intersect each other at T. Join PT.
Step 4: Let PT intersect the arc at U. Taking U and R as the centre and with radius more than $\frac{1}{2}RU$, draw an arc to intersect each other at V.
Step 5: Join PV which is the required ray that makes an angle ${15}^{\circ }$ with the ray PQ.