PQRS is a rectangle . St is perpendicular from S on diagonal PR. If angle pst :angle rst =4:5 . find angle tpq.
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Step-by-step explanation:
pst : rst= 4:5 (given)
let pst be 4x and rst be 5x
bt pst + rst = 90(int. angle of rectangle)
so 4x+5x=90
9x=90
x=10 so, pst= 40 and rst = 50
now, in triangle srt ;angle srt = 40(angle sum property coz angle str=90)
sr parallel pq(sides of rectangle) and pr is the transversal so angle srp = angle tpq( alternate int. angles)
this implies angle tpq = 40
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