Segment AB is a diameter. Segments AB and CD are perpendicular. Find the measure of arc BD if the measure of arcAC is 43. 133 47 137 86

Given the problem, we need to find the measure of arc given that segment is a diameter and segments and are perpendicular. Additionally, we know that the measure of arc is 43 degrees.1. **Understanding the Geometry:** - Since is a diameter, it divides the circle into two equal semicircles, each measuring 180 degrees. - Segments and being perpendicular implies that is a chord that intersects the circle at right angles to the diameter .2. **Arc Calculation:** - The measure of arc is given as 43 degrees. - Since is a diameter, the measure of arc (which includes arc and arc ) must be 180 degrees (as it is a semicircle).3. **Finding Arc :** - To find the measure of arc , we subtract the measure of arc from 180 degrees: 4. **Perpendicular Chord Property:** - Since is perpendicular to , it implies that lies directly opposite to on the circle, forming a right angle at the center. - Therefore, the arc is the same as the arc .5. **Conclusion:** - The measure of arc is equal to the measure of arc , which we calculated to be 137 degrees.