plz solve this question stepwise
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1. 55 degrees
2. 70 degrees
3. 55 degrees
4. 70 degrees
abhishekgupta275:
thik
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(1) 55°
Because Angle PQR = angle APQ... (alternate Interior angle)
(2) 70°
Because Angle PRQ + angle PQD = 180° ....(sum of linear pair of angles)
=> angle PRQ = 180 - 110
=> angle PRQ = 70°
(3) 55°
Because Angle APR = angle PRD...(alternate Interior angle)
=> angle QPR = angle PRD - angle APQ
=> angle QPR = 110 - 55
=> angle QPR = 55°
(4) 70°
Because angle DRP + angle RPB = 180°...(consecutive interior angles)
=> angle RPB = 180 - 110
=> angle RPB = 70°
Because Angle PQR = angle APQ... (alternate Interior angle)
(2) 70°
Because Angle PRQ + angle PQD = 180° ....(sum of linear pair of angles)
=> angle PRQ = 180 - 110
=> angle PRQ = 70°
(3) 55°
Because Angle APR = angle PRD...(alternate Interior angle)
=> angle QPR = angle PRD - angle APQ
=> angle QPR = 110 - 55
=> angle QPR = 55°
(4) 70°
Because angle DRP + angle RPB = 180°...(consecutive interior angles)
=> angle RPB = 180 - 110
=> angle RPB = 70°
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