Question 2(c) PQRS is a cyclic quadrilateral Given ∠QPS=73∘,∠PQS=55∘ and ∠PSR=82∘ Calculate:(i)∠QRS(ii)∠RQS(iii)∠PRQ - Maths - Circles

Question

Q u e s t i o n   2 ( c )   P Q R S   i s   a
  c y c l i c   q u a d r i l a t e r a l   G i v e
n   ∠ Q P S = 73 ∘ , ∠ P Q S = 55 ∘
  a n d   ∠ P S R = 82 ∘   C a l c u l a
t e : ( i ) ∠ Q R S ( i i ) ∠ R Q S ( i i i ) ∠ P
R Q

Reena · Answer

Angle QRS=180?-73?=107?(as PQRS is a cyclic quadrilateral)

Q u e s t i o n 2 ( c ) P Q R S i s a c y c l i c q u a d r i l a t e r a l . G i v e n ∠ Q P S = 73 ∘ , ∠ P Q S = 55 ∘ a n d ∠ P S R = 82 ∘ . C a l c u l a t e : ( i ) ∠ Q R S ( i i ) ∠ R Q S ( i i i ) ∠ P R Q

$Q u e s t i o n 2 (c) P Q R S i s a c y c l i c q u a d r i l a t e r a l . G i v e n ∠ Q P S = 73^{\circ}, ∠ P Q S = 55^{\circ} a n d ∠ P S R = 82^{\circ} . C a l c u l a t e : (i) ∠ Q R S (i i) ∠ R Q S (i i i) ∠ P R Q$