Question : The sum of the angles made by a chord at the centre and on the major arc of a circle is 225°. What will be the angle made at the major arc of this circle?
Option 1: 125 degrees
Option 2: 150 degrees
Option 3: 90 degrees
Option 4: 75 degrees
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Correct Answer: 75 degrees
Solution :
Let the angle at the centre be $2x$ and the angle at the major arc be $x$
$2x + x = 225°$
⇒ $3x = 225°$
⇒ $x = \frac{225°}{3}$
⇒ $x = 75°$
Hence, the correct answer is 75 degrees.
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