Answer:
x = 121°
Step-by-step explanation:
If you add up all the angles of a triangle, you get 180°.
So you must add up all the angles.
Next you subtract 59 on both sides.
x should be 121°.
If you would like to check your answer, you can add up 27, 32, and 121. If it all equals to 180, then your answer is correct.
<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°
