If O is the centre of the circle, find the value of x in given figure:
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By using circle theorem which states that the measure of an angle subtended by an arc at the center is twice the measure of an angle subtended by the same arc at the circumference of the circle.
The exterior angle at the center is 360 ⁰
−138 ⁰
=222 ⁰
So, the value of X is half of 222 ⁰
that is 2222 ⁰
=111 ⁰.
Hence, the answer is 111 ⁰.
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