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
