∆ PQR 's angle P is right angled (90). PS is perpendicular to QR . prove angle QPS=angle PRQ
Answers
Answer:
Given: In PQR, right at P. PS is perpendicular to QR.
To prove: QPS = PRQ
Proof:
In QPS, QPS + PSQ + PQS = 180o
QPS + 90o + PQS = 180o
QPS = 90o - PQS
QPS = 90o - Q ...(i)
In PQR
P + Q + R = 180o
Q + R = 180o - P = 180o - 90o = 90o
Or, R = 90o - Q ...(ii)
(i) and (ii) QPS = PRQ.
Answered by | 4th Jun, 2014, 03:23: PM
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