If the measure of arc VYX = 282 degrees, find the measure of ∠XVU.
Have no idea what angleXVU is or how it relate to arc VYX.
To find the measure of angle ∠XVU, we need to use the relationship between the measure of an intercepted arc and the measure of the corresponding angle in a circle.
In a circle, the measure of an intercepted arc is equal to the measure of its corresponding central angle. So, if the measure of arc VYX is 282 degrees, then the measure of angle ∠XVU is also 282 degrees. Therefore, the measure of ∠XVU is 282 degrees.
To find the measure of angle ∠XVU, we need to use the relationship between the measure of an angle and the measure of the arc it intercepts.
Step 1: Recall the relationship between an angle and its intercepted arc.
For any angle ∠XVU that intercepts an arc VYX, the measure of the angle is equal to half the degree measure of the intercepted arc.
Step 2: Use the given information.
The measure of arc VYX is given as 282 degrees.
Step 3: Apply the relationship to find the measure of ∠XVU.
Using the relationship mentioned in Step 1, we can determine the measure of ∠XVU by taking half of the measure of arc VYX.
∠XVU = (282 degrees) / 2 = 141 degrees.
Therefore, the measure of angle ∠XVU is 141 degrees.