Question
Download Solution PDFSum of the angles made by a chord at the centre and on the major arc of a circle is 180 degree. What will be the angle made at the centre of the circle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sum of angles = 180°
Concept used:
Angle at the centre is twice the angle at the major arc.
Calculation:
Let the angle made at centre be 2x°
Angle made at major arc = x°
⇒ 2x° + x° = 180°
⇒ 3x° = 180°
⇒ x° = 60°
⇒ 2x° = 120°
Therefore, the angle made at the centre of the circle is 120°.
Last updated on May 28, 2025
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