Arobot moved 10 meters towards north. it then turned 44 degrees to its right and moved another 10 meters. it then turned 55 degrees to its right and moved another 10 meters. last, it turned x degrees to its right. the robot was facing south after the last move. what is x?

  x = 81

Step-by-step explanation:

You're only concerned with angles in this problem. The initial bearing is 0° (measured clockwise from north). After the first turn, it is 44°. After the second turn, it is 44° +55° = 99°. After the third turn, it is 180° (south), so the last turn is found from ...

  99° + x° = 180°

  x = 180 -99 . . . . . divide by ° and subtract 99

  x = 81

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