Home
Class 10
MATHS
In the figure, / PQR and / PSR are inscr...

In the figure, `/_ PQR` and `/_ PSR` are inscribed in the same are PQR and they intercept same are PR. If `/_ PQR = 65^(@)` then find the measure of `/_ PSR`

Text Solution

Verified by Experts

`/_ PQR ~= /_ PSR`…. (Angles inscribed in the same arc are congruent)
`/_ PQR = 65^(@)` …(given)
`:. /_ PSR = 65^(@)`
Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise COMPLETE ANY TWO OUT OF THREE ACTIVITIES :|3 Videos
  • MODEL QUESTION PAPER

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SOLVE ANY FOUR THE FOLLOWING SUBQUESTIONS :|5 Videos
  • MODEL QUESTION PAPER

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHOOSE THE CORRECT ALTERNATIVE :|4 Videos
  • MENSURATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignment 8.5|8 Videos
  • PRACTICE QUESTION BASED

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise STATISTICS|13 Videos

Similar Questions

Explore conceptually related problems

In the figure, /_PQR = 85^(@) then find the measure of /_ PTR .

S is the incentre of triangle PQR . If angle PSR = 125^@ , then the measure of angle PQR is:

Prove that, angles inscribed in the same arc are congruent /_PQR and /_PSR are inscribed in the same arc. Arc PXR is intercepted by the angles. To prove : /_PQR ~= /_PSR Proof : m /_ PQR = (1)/(2) m ( arc PXR ) …... square m /_ square = (1)/(2) m (arc PXR ) ....(2) square :. m /_ square = m /_ PSR ......[ From (1) and (2) ] :. /_PQR ~= /_ PSR ...(Angles equal in measure are congrument )

In right-angled triangle PQR , if hypotenuse PR = 12 , PQ = 6 then what is the measure of /_ P ?

Prove that, angles inscribed in the same arc are congruent . Given : angle PQR and angle PSR are inscribed in the same arc PXR. PXR is intercepted by the angles. To prove : angle PQR ~= angle PSR Proof : m angle PQR =1/2 m (arc PXR) " "(I) square m angle .........=1/2 m(arc PXR) " "(II) therefore m angle ....... =m angle PSR " " (From I and II) therefore angle PQR ~= angle PSR " " ( Angles equal in measure are congruent )

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

In ∆PQR of Fig. 6.32, PQ = PR. Find the measures of ∠Q and ∠R.

In the figure if PQRS is a parallelogram, then find the value of x & y.