Question

pls help me mate this question is important ​

Answer 1

here is ur answer

Step-by-step explanation:

given - RS perpendicular to PQ

angle p = 55°

to prove- (a) /_ PRS

(b) /_QRS

proof - (I) in ∆PRS,

/_PRS + /_ RPS + /_ PSR = 180°

/_ PRS + 55° + 90° = 180°

/_ PRS + 145° = 180°

/_ PRS = 180° - 145°

/_ PRS = 35°

(ii) ∆PQR is right angled triangle

/_ R = 90°

in ∆ PQR,

55° + 90° + /_ Q = 180°

145° +/_ Q = 180°

/_ Q = 35°

in ∆ QRS,

/_ QRS + /_ RSQ + /_ RQS = 180°

/_ QRS + 90° + 35° = 180°

/_ QRS + 125° = 180°

/_ QRS = 55°