Question

please help me answer this
class 9, circles​

Answer 1

Answer:

/P = 108⁰

/Q = 150⁰

/R = 72⁰

/S = 30⁰

Step-by-step explanation:

Firstly take / as angle sign.

Now, since PQRS is a cyclic quadrilateral, therefore,

/P+/R = /Q+/S = 180⁰, because opposite angles in a cyclic quadrilateral are supplementary (i.e. their sum is 180⁰).

So, 3x+2x=180⁰ and 5y+y=180⁰

5x=180⁰ and 6y=180⁰

x=36⁰ and y=30⁰

Hence,

/P= 3x = 3×36⁰ = 108⁰

/Q= 5y = 5×30⁰ = 150⁰

/R= 2x = 2×36⁰ = 72⁰

/S= y = 30⁰......

Hope it'll help you.