A class is listing things that come in fives. Some of the things on the list are: points on a star, players on a basketball team
, sides on a Pentagon. Jan is writing a problem to match six times five. Jan writes, "I have six nickels. Each nickel is worth five cents. How much money do I have? " Jan tells the class that she can represent how to solve the problem in many different ways. What are two different ways that Jan could represent and solve her problem?
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<u>Given</u>:
Given that the measure of ∠CDR = 85°
We need to determine the measure of and
<u>Measure of arc RC:</u>
Since, we know that if a central angle is formed by two radii of the circle then the central angle is equal to the intercepted arc.
Thus, we have;
Substituting the values, we get;
Thus, the measure of is 85°
<u>Measure of arc CBR:</u>
We know that 360° forms a full circle and to determine the measure of arc CBR, let us subtract the values 360 and 85.
Thus, we have;
Substituting the values, we have;
Thus, the measure of is 275°