2 years ago

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Mathematics

1 answer:

emmasim [6.3K]2 years ago

6 0

Answer:

116°

Step-by-step explanation:

In a triangle, the sum of all interior angles is 180°

<PRS + <RSP + <SPR = 180°

51° + <RSP + 65° = 180°

<RSP = 180° - 65° - 51° = 180° - 116° = 64°

Since, <PST and <RSP are supplementary angles,

<PST + <RSP = 180°

<PST = 180° - 64° = 116°

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