Home
Class 10
MATHS
In the adjoining figure, square P Q R ...

In the adjoining figure, `square P Q R S ` is a cyclic quadrilateral. Side PQ `~=` side RQ. `anglePSR = 110^(@)` . Find
(i) `anglePQR`
(ii) m (arc PQR)
(iii) m (arc QR)
(iv) `anglePRQ`

Text Solution

Verified by Experts

The correct Answer is:
m `angle PQR = 70 ^(@)` , `:.` m(arc PQR) `=220^(@)` , `:.` m(arc QR) `=110^(@)` , `:. anglePRQ = 55^(@)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CHETAN PUBLICATION|Exercise Practice Set - 3.5|4 Videos

  • CIRCLE

    CHETAN PUBLICATION|Exercise Problem Set - 3|16 Videos

  • CIRCLE

    CHETAN PUBLICATION|Exercise Practice Set - 3.3|3 Videos

  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Mensuration|9 Videos

  • CO-ORDINATE GEOMETRY

    CHETAN PUBLICATION|Exercise ASSIGNMENT-5|11 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, G, D, E, F are concyclic points of a circle with centre C . angleECF = 70^(@) m (arc DGF) = 200^(@) find (i) m arc DE (iii) m (arc DEF).

In the abjoining figure, point O is the centre of the circle . Length of chord AB is equal to the radius of the circle . Find (i) angleAOB (ii) angleACB (iii) nm (arc AB) (iv) m (arc ACB)

In adjoining figure, PQ = QR . angleP = 60^(@) :. m (arc PR)= .....

In the given figure sides QP and RQ of ΔPQR are produced to points S and T respectively. If angleSPR = 135^(@) and anglePQT = 110^(@) , find anglePRQ.

In a cyclic quadrilateral PQRS, PQ= 2 units, QR= 5 units, RS=3 units and /_P Q R=60^0, then what is the measure of SP?

In the adjoining figure, angle QPR = 90^(@), "seg" PM bot hypotenuse QR, Q - M - R. If PM = 10, QM = 8 then find QR.

In the adjoining figure, m (arc WY) =44^(@) m (arc ZX) = 68^(@) , then (i) Find m angleZTX . (ii) If l(WT) = 4 . 8 , l(TX) = 8 l(YT) = 6 . 4 , then find l(TZ) (iii) If l (WX) = 25, l(YT) = 8 l(YZ) = 26, then find l(WT)

Delta PQR is an "equilateral triangle", "seg" PM bot side QR, Q -M- R "Prove that" : PQ^(2) = 4QM^(2)

Find the TSA and LSA of the cube whose side is (i) 8 m (ii) 21 cm (iii) 7.5 cm

In Delta PQR, M is "the midpoint of" side QR. If PQ = 11, PR = 17 "and" QR = 12 "then find PM" .