If you are considering a circle, where the central angle is 124o of 360, then, we have the diameter, 2r, multiplied by pi, and then a twist, multiplied by the ratio of the angle (ABC in this case) and 360 (the total measure of the circle). Therefore, we have:
2pi(r) * (124/360) = 2pi(r)*(31/90) = 31/45 pi * r.
However, with the information you provided, we are unable to deduce a complete numerical answer for arc AC.
However, considering you meant that the point B is located on the circumference of the circle, then that is a different matter.
We now have a circle, with the diameter shown, and chord BC is given, we can draw a line from the center of the circle where the diameter is, and connects with point C. Thus, we have another radius section (DC, given D is the center). Then, we have the radius stretching from point D to B. Thus, we have an isosceles triangle. This means that angle C = angle B. Now, because there is 180 degrees in a triangle, and angle C = angle B, we have:
180 - 2a = a2
Now, a line is also 180 degrees so subtracting 180 degrees, we have:
180 - (180 - 2a) = Angle D
180 - 180 + 2a = Angle D
2a = Angle D
Now, we know that a is the angle, thus, subsituting in the equation, we have 2(124) = 248o.
Using the above information, we could multiply by 2 (248 is twice of 124), thus giving 62/45 * pi* r. (2pi*r * 248/360 = 2pi * r * 31/45 = pi * r * 62/45)
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180-56=124 degrees
236-124/2=56 degrees
The final angle is 900 -776 = 124 degrees
Complementary angles only add up to 90 degrees but if you mean its supplementary angle then it is 56 degrees because they both add up to 180 degrees which are supplementary angles.
Two consecutive angles of a parallelogram always add up to 180 degrees. So, if the figure actually IS a parallelogram, and if it has a 54-degree angle, then it has two of them, and the other two are 124 degrees each.