Question

construct an angle of 45 degree at the point of an origin of a given Ray and write the step of construction​

Answer 1

Answer:

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 90 degree 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.

Justification:

By construction we have,

root XOY 90 degree

We constructed the bisector of   as 

root XOY root DOY

Thus,

root DOY is 1/2

root XOY is 1/2 multiply 90 degree = 45 degree