Respuesta :

Answer:

142°

Step-by-step explanation:

Given is a circle with center O

A and R are points on the circumference

AOR is given as 142 degrees

AOR angle is nothing but the arc (minor) AR subtends at the center.

Hence the measure of AR = angle the minor arc AR subtends at the center

= 142 degrees

Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians). The central angle is also known as the arc's angular distance. The size of a central angle Θ is 0° < Θ < 360° or 0 < Θ < 2π (radians).