Q2. Construct an angle of 45o at the initial point of a given ray and justify the construction.
The steps of construction to follow:
Step 1: Draw a ray OY.
Then, take O as the centre and any radius, mark a point A on the arc ABC.
Step 2: Now, taking A as the centre and the same radius, mark a point B on the arc ABC.
Step 3: Take B as a centre and the same radius, mark a point C on the arc ABC.
Step 4: Now, taking C and B as centre one by one, draw an arc from each centre intersecting each other at a point X.
Step 5: X and O are joined and a ray making an angle with OY is formed.
Let the arc AC touches OX at E
Step 6: With A and E as centres, 2 arcs are marked intersecting each other at D and the bisector of angle XOY is drawn.
By construction we have,
We constructed the bisector of as