please give this answer step-by-step fast it's urgent
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if you give right answer I mark your brain released but urgent please give this answer in step by step fast
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Answer:
<PTR=180-(95+40)
=180-135
=45
NOW,,,<PTR=<STQ because,they are oposite angle
so, <STQ=45
therefore,<SQT=180-(45+75)
=180-120
=60
Answered by
1
- In ∆PRT
x + ∠PRT + ∠RPT = 180° (Angle sum Property)
x + 95° + 40° = 180°
x + 135° = 180°
x = 180° - 135°
∠x = 45°
∠STQ = ∠x (vertically opposite angles)
∠STQ = 45°
- In ∆TQS
∠STQ + ∠TSQ + ∠SQT = 180°(angle sum property)
45° + 75° + ∠SQT = 180°
120° + ∠SQT = 180°
∠SQT = 180° - 120°
∠SQT = 60°
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