Question

And question 2 is use your knowledge of central and inscribed angles to find M.

Answer 1

Answer:

∠ RQS = 138°

Step-by-step explanation:

Since PR and PS are tangents to the circle, then

∠ QRP = ∠ QSP = 90°

The sum of the interior angles of PRQS = 360°

Subtract the sum of the interior angles from 360° for ∠ RQS

∠ RQS = 360° - (90 + 90 + 42)° = 360° - 222° = 138°