Site navigation

PQRS is a cyclic quadrilateral whose diagonals PR and QS intersect at the point T. \(\angle SQR\) measures \(72^\circ\), and \(\angle QPR\) measures \(28^\circ\). What is the measure of \(\angle…

Question and options

PQRS is a cyclic quadrilateral whose diagonals PR and QS intersect at the point T. ∠SQR\angle SQR measures 72∘72^\circ, and ∠QPR\angle QPR measures 28∘28^\circ. What is the measure of ∠QRS\angle QRS?
  1. 80∘80^\circ
  2. 100∘100^\circ
  3. 82∘82^\circ
  4. 60∘60^\circ

Answer and explanation

Correct answer: A - \(80^\circ\)
Angle QSR = angle QPR = 28 deg (same arc QR). In triangle QRS: angle QRS = 180 - 72 - 28 = 80 deg.

Practice for these exams

  • IIM Bangalore BBA DBE Entrance Test

Related question papers

Related exam syllabi

More solved explanations in Arithmetic