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vodka [1.7K]
3 years ago
15

I NEED HELP PLEASE!!

Mathematics
1 answer:
Volgvan3 years ago
4 0

Answer:

t = 51°

Step-by-step explanation:

The total sum of a polygon's exterior angles is always 360°.

Add all of the given angles and equate it to 360°.

40° + 34° + 34° + 46° + (2t - 50°) + (2t - 50°) + 2t = 360°     Collect like terms

154° + 2t - 50° + 2t - 50° + 2t = 360°    Remove brackets and collect like terms

54° + 6t = 360°   Isolate t by doing reverse operations in reverse BEDMAS

6t = 360° - 54°    Subtract 54° from both sides

6t = 306° Divide both sides by 6

t = 51°    Answer

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