Question

Prove it!!!!!!!

❌No Spams!

Answer 1

$\sf{\huge{PROOF}}$ :

PQ is the diameter.

OS and OR are the radii. RS is the Chord which is parallel to PQ.

Since, OR = OS

Angle OSR = Angle ORS [ Angles equal to opposite equal sides are also equal ]

PQ//RS

Angle POR = Angle ORS [ Alternate interior Angles ]

Similarly, Angle QOS = Angle OSR [ Alternate Interior angles]

And we proved that,

Angle ORS = Angle OSR

SO, Angle POR = Angle QOS

Hence, PROVED.

Answer 2

Given: PQ is the diameter ,

then OR and OS are equal as they are the radii

angle ORS is equal to angle OSR(as angle opposite to equal sides are equal)

also we can say angle POR is equal to angle OSR ( alternate angles)

therefore angle POR is equal to angle QOS