CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In the figure below, it is given that chords AB = PQ. The AOB=550, and  POQ=x0, find x.


  1. 25

  2. 35

  3. 45

  4. 55


Solution

The correct option is D

55


Here we are given that AB = PQ

Now let us consider ΔAOB and ΔPOQ,

Here, AB = PQ  (given)

AO = PO = radius of the circle

Similarly, BO = QO = radius of the circle

ΔAOBΔPOQ (By SSS congruency)

Hence, POQ=55. (C.P.C.T)

Alternate method:

Equal chords subtend equal angles at the centre.

Hence  AOB = POQ = 55

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More...


People also searched for
View More...



footer-image