Final answer:
The measure of angle r°, which is twice the measure of angle w°, must be 143° because it is the only provided option where one number is twice the other.
Step-by-step explanation:
To determine the measure of angle r°, we know that it is twice as large as the measure of angle w° (r° = 2w°). Without additional information about the specific value of w°, we cannot conclude the exact measure of r°. However, we can say that r° is twice whatever w° is. Among the provided options, the only pair of numbers where one is twice the other is 143° (r°) and 71.5° (w°), meaning 143° is the correct answer. This can be checked with the equation r° = 2 * 71.5° = 143°.