F1 Koda Shraddha 10.03.2020 D6

ऊपर दर्शाए गए चित्र में, पाँच समान लंबाई की रेखाएँ PR, PS, QS, QT और RT एक तारे का निर्माण करती हैं।
θ का मान, डिग्री में, ______ है।

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GATE CY 2021 Official Paper
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  1. 36
  2. 45
  3. 72
  4. 108

Answer (Detailed Solution Below)

Option 1 : 36
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दिया गया है:

PR = PS = QS = QT = RT

F1 Killi 8.3.21 Pallavi D22

तब ABCDEF एक सम पंचभुज होगा

∠EAB = पंचभुज के कोणों का योग/5

⇒ ∠EAB = 540°/5 = 108°

⇒ ∠PAB = 180° - 108° = 72°

⇒ θ + ∠PAB + ∠PBA = 180°

⇒ θ + 72° + 72° = 180°

⇒ θ = 36°

विकल्प (a) सही है।

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