Question

Construct the following angles and verify by measuring them by a protractor:
${105}^o$

Answer 1

${105}^{\circ }$ can be drawn with the help of compass by bisecting the angle between ${90}^{\circ }$ and ${120}^{\circ }$

(i) With $P$ as centre, draw an arc intersecting $PQ$ at point $R$.

(ii) With $R$ as centre and with same radius cut 2 arcs $S$ and $T$.

(iii) With radius more than half and $S$ and $T$ as centre cut arcs intersecting at $U$. Join $PU$. $\angle UPQ={90}^{\circ }$. Let it intersect the previous arc at $V$

(iv) Repeat the same process with arcs $V$ and $T$ such that $\angle WPQ={105}^{\circ }$