Answer:
∠RPS = 44°
Step-by-step explanation:
∠RPS is complementary to ∠SPQ so since you have ∠SPQ you can subtract it from 90 to find ∠RPS.
90 - 46 = 44
Complementary angles have a sum of 90°, thus
∠RPS + ∠SPQ = 90°, hence
∠RPS + 46° = 90° ( subtract 46 from both sides )
