Question

Find the value of X and Y​

Answer 1

Step-by-step explanation:

Given:- PQRS is a cyclic quadrilateral.

So, Opposite angles of the quadr. has sum 180°

Then, Angle P + Angle R= 180°

=> 3x+x=180°

=> 4x=180°

=> x= 180/4

=> x= 45

Since, x=45 Angle P= 3x45,= 135° and Angle R= 45°

Similarly, In Angle Q and S

=> Angle Q + Angle S= 180° ( Since,it is a cyclic quadri. and in Cyclic quadri. the sum of opposite angles are 180°)

=> 5y+y=180°

=>6y=180°

=>y=180/6

=>y= 30

Since, y=30, AngleQ=5×30,=150°

Angle S= 30°

Hence,Found that x=45 andy=30.

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Answer:- x=45 and y=30