To find the measure of angle PSQ when angle PSR is given as 99 degrees, we need to understand the relationship between these angles. Generally, in a geometric figure where points P, S, Q, and R are involved, we must determine how these angles are positioned relative to each other.
If angle PSR and angle PSQ are supplementary (meaning they add up to form a straight line), we can find the measure of angle PSQ by using the following formula:
Measure of angle PSQ = 180 degrees – Measure of angle PSR
Substituting the known value:
Measure of angle PSQ = 180 degrees – 99 degrees = 81 degrees
Thus, the measure of angle PSQ is 81 degrees. However, if they are not supplementary, we would need additional information about their relationship to derive the correct measure of angle PSQ.