Geometrical properties of circle

  • Thread starter LiHJ
  • Start date
  • #1
43
2
DSC_0008.JPG

Homework Statement


Dear Mentors/PF helpers,

Please help me with part (ii), I couldn't find a way through this part.
DSC_0008.JPG


Homework Equations




The Attempt at a Solution


My solutions:
(i) angle RPS = 65 deg (angles in the same segment are equal)

(iii) angle PRS = 110 - 65 = 45 ( exterior angle of triangle PSR equal two interior angles)
angle PQS = angle PRS = 45 (angles in the same segment are equal)
 

Answers and Replies

  • #2
35,259
11,510
Hint: Introduce the point C as center of the circle XPS to use the "touching" information.
 
  • #3
43
2
DSC_0011.JPG
 
  • #4
35,259
11,510
CSP should be PSC.

That is the same result I got.
 

Related Threads on Geometrical properties of circle

  • Last Post
Replies
1
Views
483
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
1
Views
950
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
4
Views
1K
Replies
5
Views
2K
  • Last Post
Replies
24
Views
5K
Top