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4 years ago

Helppppppppppppppppp asappppppp

Mathematics

1 answer:

Pani-rosa [81]4 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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