Question

draw a angle AOB=65° using a protector. Now using ruler and compass, construction ANGLE
XOY =ANGLE AOB

Answer 1

Just extend the two lines and you get your answer in the first diagram as shown in the second diagram.

-WonderGirl

Answer 2

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

Step-by-step explanation:

Given,

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

Following steps:

• Draw a ray $OB$ using scale.

• From point $O$ draw an angle $65\ degree$ using protector like $\angle AOB=65\ degree$.

• $O$ as center draw an arc on $OA\ and\ OB$  which cuts ray  at $D\ and\ E$

• Now, draw a ray $OY$ from point $O$

• Take arc measure of $DE$ and $O$ as a center draw same arc using compass which cuts ray $OY$ at $P$

• Take $DE$ measure using compass and cuts point $Q$ like $DE=PQ$.

• Join $PQ$ and extend it like $OX$

• So, $\angle AOB=\angle XOY$

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