Answer 1

Given : m(arc PMQ) = 130°

According to Tangent Chord Theorem,
The tangent chord angle theorem states that the measure of the angle formed by the intersection of a tangent and a chord of the circle equals one half of the intercepted arc by the chord.

∴ ∠PQS = `1/2` m(arc PMQ)

⇒ ∠PQS = `[130°]/2` = 65°