Question

In the figure PQRS is a cyclic quadrilateral. a)Find x and y b) Find all the angles of the cyclic quadrilateral





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Answer 1

Answer:

∠PSR=5*30= 150°, ∠PQR=y= 30°,  ∠SPR=x= 45°, ∠QRS=x*3=135°.

Step-by-step explanation:

The sum of opposite angles of a cyclic quad is 180°

∠PSR + ∠PQR  = 180°

5y + y = 180°

6y=180°

y =30°

Similarly ∠SPR + ∠QRS  = 180°

3x + x = 180°

4x=180°

x=45°