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