Math, asked by karthikreddy7045, 3 days ago

In the figure, O is the centre of a circle passing through
points A, B, C and D and ∠ADC = 120°. Find the value of
x.

Answers

Answered by kimkoko
4

Answer:

ABCD is a cyclic quadrilateral. we have

∠ABC+∠ADC=180

o

∠ABC=180

o

−120

o

=60

o

Also ∠ACB=90

o

( angle on a semi circle )

In ΔABC we have

∠BAC+∠ACB+∠ABC=180

o

∠BAC+90

o

+60

o

=180

o

∠BAC=180

o

−150

o

=30

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