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Given that :
QPR is a right angled triangle.
PM is perpendicular on QR
Let angle PRQ be x
Then, angle MPR must equal 180-(90+x)
= 90-x
[As third angle of triangle = 180 - sum of other two angle]
So angle MPR = 90-x
angel RPQ = 90°
If PMR = 90°-x
Then angle QPM = 90 -(PMR)
= 90-(90°-x)
= x
So, angle QPM = x = angle QRP
QPR is a right angled triangle.
PM is perpendicular on QR
Let angle PRQ be x
Then, angle MPR must equal 180-(90+x)
= 90-x
[As third angle of triangle = 180 - sum of other two angle]
So angle MPR = 90-x
angel RPQ = 90°
If PMR = 90°-x
Then angle QPM = 90 -(PMR)
= 90-(90°-x)
= x
So, angle QPM = x = angle QRP
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