Math, asked by taekookforever05, 1 month ago

Plz help me solve this....it's urgent....​

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Answers

Answered by MUIGOKU72038
1

Step-by-step explanation:

Please mark this answer as brainliest

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Answered by BrainlyWise
11

\large\boxed{\mathtt\red{Given:-}}

✎ ∠PRT = 35°

✎ ∠RPT = 90°

✎ ∠TSQ = 85°

\large\boxed{\mathtt\green{To\:Find:-}}

◑ ∠SQT

\large\boxed{\mathtt\blue{Solution:-}}

we know that,

✒ ∠PRT+∠RPT+∠PTR = 180°

✒ 35°+90°+∠PTR = 180°

✒ ∠PTR = 180°- 125°

PTR = 55°

◑ ∠PTR = ∠STQ = 55°

[Vertically Opposite Angles]

Now,

➽ ∠STQ+∠TSQ+∠SQT = 180°

✒ 55°+85°+∠SQT = 180°

✒ ∠SQT = 180° - 140°

\large\boxed{\mathtt\purple{∴∠SQT=40°}}

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