Question 32
Circle TheoremsTwo chords PQ and RS of a circle intersect at right angles at a point inside the circle. If ∠QPR = 35°, find ∠PQS
- A.35°
- B.45°
- C.55°
- D.70°
- E.90°.
Show the answer and explanation
Answer: C (55°)
Explanation
In the triangle formed by P, R and the crossing point, the angles are 35° and 90°, so ∠PRS = 55°. ∠PQS = ∠PRS (angles on the same arc PS) = 55°.