Question

In the given fig.,O is the centre of the circle and angle AOC =160°.
Prove that 3 angle y - 2 angle x = 140°
plz answer ASAP

Answer 1

here ,

3 angle y - 2 angle x = 140° hence proved.

Answer 2

3y - 2x  =  140° if O is the centre of the circle and angle AOC =160°.

Step-by-step explanation:

O is the centre of the circle

∠AOC = 160°

∠AOC = 2∠ABC ( Angle formed by chord at center = twice angle formed in same arc segment)

=> 160° = 2x

=> x = 80°

ABCD is a cyclic quadrilateral

Sum of opposite angle sof cylic quadrilateral = 180°

=> x + y = 180°

=>80° + y = 180°

=> y = 100°

3y - 2x  = 3 (100°) - 2(80°)

= 300° - 160°

= 140°

3y - 2x  =  140°

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