The measure of arc RP in the circle, where angle PQR is given as 68 degrees, is also 68 degrees, as the measure of an arc is equal to the measure of its corresponding central angle in a circle.
To find the measure of arc RP in a circle, where angle PQR is given as 68 degrees, we need to understand the relationship between central angles and their corresponding arcs in a circle.
In a circle, the measure of an arc is equal to the measure of its corresponding central angle. Therefore, the measure of arc RP is also 68 degrees.
This is based on the fact that the measure of the central angle formed by two radii originating from the center of the circle (S) and intercepting a point on the circle (Q) and another point on the circle (P) is equal to the measure of the arc subtended by those points (in this case, RP).
So, arc RP is 68 degrees.