In the figure below, the measure of arc AC is 88 degrees if angle ABC is equal to 88 degrees.
Please post complete question if you would like to have an answer.
All missing figures should be replaced by a complete verbal description.
true
false
To find the measure of arc AC, we need to use the fact that when inscribed angles intercept the same arc, they have the same measure.
In this case, angle ABC is equal to 88 degrees. So, the measure of arc AC is also 88 degrees.
To understand this concept, it's helpful to visualize an inscribed angle in a circle. An inscribed angle is an angle whose vertex is on the circle and whose sides intersect two other points on the circle. The arc intercepted by the angle is the arc between those two points.
In this case, the angle ABC is an inscribed angle with vertex B. It intercepts arc AC. Since angle ABC is 88 degrees, arc AC has the same measure of 88 degrees.
So, the measure of arc AC is 88 degrees.