Question

C is a point on the minor arc AB of the circle, with centre O. Given angle ACB =
x° and express y in terms of x. Calculate x, if ACBO is a parallelogram.​

Answer 1

$\huge\mathfrak{Bonjour!!}$

$\huge\bold\purple{Answer:-}$

⏩Clearly, major arc BA subtends x° angle at a point on the remaining part of the circle.

Therefore,

Reflex angle AOB= 2x

=> 360° - y = 2x

=> y= 360° -2x

Thus, y= 360° -2x

Now, since ACBO is a parallelogram.

Therefore, x= y

=> x= 360° -2x

=> 3x= 360°

=> x= 360°/3 = 120° [The required solution..]

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Answer 2

❤Refer to the attachment❤