Question

Construct an angle of 45o
at the point of origin of a given ray and write the step of
construction

Answer 1

Answer:

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 3

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 4

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.

step 5

Justification:

By construction we have,

We constructed the bisector of

as

Thus,