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gizmo_the_mogwai [7]
3 years ago
10

Helppppppppppppppppp asappppppp

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

140

Step-by-step explanation:

<u>As per picture:</u>

∠PTQ  and ∠RTS are vertical angles and they are equal

  • ∠PTQ = (x + 28)°
  • ∠RTS = (2x + 16)°
  • ∠PTQ  = ∠RTS
  • x + 28 = 2x + 16
  • 2x - x = 28 - 16
  • x = 12

∠PTR is supplementary with ∠PTQ  and their sum is 180°

  • ∠PTQ = 12 + 28 = 40°
  • ∠PTR = 180 - 40 = 140°

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