Home
Class 10
MATHS
square PQRS is cyclic . If /QPS = 115^(...

`square` PQRS is cyclic . If `/_QPS = 115^(@)` then what is the measure of `/_QRS ` ? Why ?

Text Solution

Verified by Experts

`/_QPS + /_QRS = 180^(@)` …..(Opposite angles of cyclic quadrilateral are supplementary )
`:. 115 + /_QRS = 180^(@)`
`/_ QRS = 180^(@) 115^(@) =65^(@)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise 4.3 (1 mark each)|11 Videos

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise 4.4 (1 mark each)|9 Videos

  • CIRCLE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Challenging Questions|10 Videos

  • CHALLENGING QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION 3 (MODEL QUESTION PAPER FOR PRACTICE ) Solve any one of the following subquestions :|1 Videos

  • COORDINATE GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignment 6.5|13 Videos

Similar Questions

Explore conceptually related problems

In the figre, ray QR is tangent and ray QP is secant. /_PMQ is inscrbed in arc PMQ . /_PQR and /_PMQ initerceptsarc PQ.If /_PQR=75^(@) then what is the measure of /_PMQ ? Why ?

square PQRS is cyclic .T is a point of ray SR such that S-R-T and /_QRT 100^(@) then what is the measure of /_ SPQ ? Why ?

In the figure, square PQRS is cyclic side PQ cong RQ, /_PSR=110^(@) , Find measure of /_PRQ

In a cyclic quadrilateral PQRS,PQ=2 units,QR=5 units,RS 3 units and /_PQR=60^(@) , then what is the measure of SP?

In the figure, square PQRS is cyclic side PQ cong RQ, /_PSR=110^(@) , Find m(arc QR)

In the given figures, PQRS is a cyclic quadrilateral. What is the measure of the angle PQR , if PQ is parallel to the SR?

In the given figure, PQRS is a cyclic quadrilateral. What is the measure of the angle PQR if PQ is parallel to SR?