Answer:
B
Step-by-step explanation:
The central angle is twice the angle on the circumference, subtended on the same arc, then
a = 0.5 × 110° = 55° → B
the required measure of angle b inscribed in the circle is 125.
A figure is shown, in which a measure of b is to be determined.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²,
where h, k is the coordinate of the circle's center on a coordinate plane, and r is the circle's radius.
Since, As shown in the figure
the angle subtended by an arc on center is twice the angle subtended by the same are to the point of circumference corresponding point on the circle.
Angle b ,
2b = 360 - 110
2b = 250
b = 250/2
b = 125
Thus, the required measure of angle b inscribed in the circle is 125.
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