Q19 of 100 Page 17

PQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If ∠QPR=67° and ∠SPR=72°, then ∠QRS=

Given that,

PQRS is a cyclic quadrilateral


∠QPR =67°


∠SPR = 72°


∠SPQ = ∠QPR + ∠SPR


= 67o + 72o


= 139°


∠SPQ + ∠QRS = 180° (Opposite angles of cyclic quadrilateral)


139o + ∠QRS = 180°


∠QRS = 41°

More from this chapter

All 100 →
17

If ABC is an arc of a circle and ∠ABC=135°, then the ratio of arc to the circumference is

 18

The chord of a circle is equal to its radius. The angle substended by this chord at the minor arc of the circle is

 20

If A, B, C are three points on a circle with centre O such that ∠AOB=90° and ∠BOC=120°, then ∠ABC=

 21

AB and CD are two parallel chords of a circle with centre O such that AB=6 cm and CD= 12 cm. The chords are on the same side of the centre and the distance between them in 3 cm. The radius of the circle is