Question

an angle is shown three times below, each time with a circle of a different size centered at its vertex. the circumference of each circle is divided into 10 pieces (shown by the tick marks). for each size of circle, determine the measure of the arc subtended by the angles rays in units of 1/10th of the circumference of the circle

a. measurement for the diagram below:

b. measurement for the diagram below:

Explanation:

Step1: Understand the unit of measurement

The problem asks for the measure of the arc in units of \(1/10^{th}\) of the circumference. Since the circumference is divided into 10 equal - sized arcs (by the tick - marks), each tick - mark represents 1 unit.

Step2: Count the number of units (tick - marks) between the angle's rays

Looking at both diagrams (a and b), the number of tick - marks (units of \(1/10^{th}\) of the circumference) between the angle's rays is 2.

Answer:

a. 2
b. 2