Question

2. Draw an angle AOB - 65° using a protractor. Now, using ruler and compasses, construct
<XOY=<AOB​

Answer 1

Answer:

AOB=65 degree and \angle AOB=\angle XOY∠AOB=∠XOY

Step-by-step explanation:

Given,

Using a protractor draw \angle AOB=65\ degree∠AOB=65 degree .Construct \angle XOY∠XOY equal to \angle AOB∠AOB with the help of ruler and compass.

Following steps:

Draw a ray OBOB using scale.

From point OO draw an angle 65\ degree65 degree using protector like \angle AOB=65\ degree∠AOB=65 degree .

OO as center draw an arc on OA\ and\ OBOA and OB which cuts ray at D\ and\ ED and E

Now, draw a ray OYOY from point OO

Take arc measure of DEDE and OO as a center draw same arc using compass which cuts ray OYOY at PP

Take DEDE measure using compass and cuts point QQ like DE=PQDE=PQ .

Join PQPQ and extend it like OXOX

So, \angle AOB=\angle XOY∠AOB=∠XOY

Now, \angle AOB=65\ degree∠AOB=65 degree and \angle AOB=\angle XOY∠AOB=∠XOY