Q72. The angle subtended by an arc at the center of a circle is 135". The angle subtended by the same arc at any point on the remaining part of the circle is Ops: A 120 B. 30° C.90 D. 67.5
Question
Q72. The angle subtended by an arc at the center of a circle is 135". The angle subtended by the same arc at any point on the remaining part of the circle is
Ops: A 120
B. 30°
C.90
D. 67.5
Solution
The angle subtended by an arc at the center of a circle is twice the angle subtended by the same arc at any point on the alternate part of the circle. This is known as the Angle at the Center theorem.
Given that the angle at the center is 135 degrees, the angle subtended by the same arc at any point on the remaining part of the circle would be 135/2 = 67.5 degrees.
So, the answer is D. 67.5.
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