Question
Download Solution PDFSum of the angles made by a chord at the centre and on the major arc of a circle is 225 degree. What will be the angle made at the major arc of this circle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Sum of the angles at the center and major arc = 225 degrees
Concept
In a circle, the angle at the center is twice the angle subtended by the same chord at the major arc.
Solution:
Let the angle at the center be 2x and the angle at the major arc be x
2x + x = 225
Solving the above equation, we get x = 75 degrees
Therefore, the angle made at the major arc of this circle is 75 degrees.
Last updated on Jun 26, 2025
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