pls help me mate this question is important
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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°
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