MENU
Question -

In the figure, PQ is tangent at a point R of the circle with centre O. If ∠TRQ = 30°, find m ∠PRS



Answer -

In the figure,
PRQ is tangent to the circle with centre O at R
 
RT and RS are joined such that ∠TRQ = 30°
Let ∠PRS = x°
Now ∠SRX = 90° (angle in a semicircle)
But ∠TRQ + ∠SRT + ∠PRS = 180° (Angles of a line)
=> 30° + 90° + x° = 180°
=> 120° + x° = 180°
=> x° = 180° – 120° = 60°
∠PRS = 60°

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×