Question

PLS HELP ( CORRECT ANSWER BRAINLY )

Find m∠P.

Find m∠Q

Answer 1

Answer:

∠P = 45° and ∠Q = 135°

Step-by-step explanation:

Consider quadrilateral PSQR. We know that in a quadrilateral,

=> ∠P + ∠S + ∠Q + ∠R = 360°

We also know that , When two tangents are drawn from a same point to the circle, the tangent is perpendicular to the centre.

=> ∠S = ∠R = 90°

Now,

=> ∠P + 90° + ∠Q + 90° = 360°

=> ∠P + ∠Q = 360° - 180°

=> x + 3x = 180°

=> 4x = 180°

=> x = 45° = ∠P

=> 3x = 135° = ∠Q

Hope you've understood the answer.