The measure of the angle is ∡BAC= 29° and the angle ∡BOC = 58° if the measure of the angle ∡BDC=29°
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have given:
∡BDC=29°
Angles BDC and BAC are inscribed angles of arc BC, as may be shown. Because both angles relate to the same arc, the angle BAC would be measured as 29 degrees.
∡BAC= 29°
∡BOC= 2×∡BAC (central angle theorem)
∡BOC= 2×29 = 58°
Thus, the measure of the angle is ∡BAC= 29° and the angle ∡BOC = 58° if the measure of the angle ∡BDC=29°
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