Question

The given figure shows a circle with centre O, in which PQS= 27° and RQS=63°. Find the measure of :
(i) PQS, and
(ii) PSR ​

Answer 1

Answer:

(i)63° (ii)27°

Step-by-step explanation:

In ΔPQS, ∡QPS = 90°[Angle in a semi-circle is 90°]

By angle sum property,

∡QPS + ∡PSQ + ∡PQS = 180°

90° + 27° + ∡PQS = 180°

⇒ ∡PQS = 63°

In ΔRQS, ∡QRS = 90°[Angle in a semi-circle is 90°]

By angle sum property,

∡QRS + ∡RSQ + ∡RQS = 180°

90° + ∡RSQ  + 63° = 180°

⇒ ∡PSR = 27°