7. Find the value of 'x'and 'y' from the figure given below. 120° to OR (3x + 6°)
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Answer:
) ABCD is cyclic Quadrilateral
∴∠B+∠D=180
0
⇒y+40
o
+45
o
=180
o
⇒(y+85
o
=180
o
)
⇒y=180
o
−85
o
=95
o
Now, ∠ACB=∠ADB ( Angles on the same chord)
⇒x
o
=40
(b) Arc ADC Subtends ∠AOC at the centre and ∠ABC at the remaining part of the circle
∴∠AOC=2∠ABC
⇒x
o
=60
o
Again ABCD is a Cyclic quadrilateral
∴∠B+∠D=180
o
⇒(60
o
+yo=180
o
)
⇒y=180
o
−60
o
=120
o
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