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100 POINTS!!! please hurry!!!! A side of the triangle below has been extended to form an exterior angle of 148°. Find the value of x.

100 POINTS Please Hurry A Side Of The Triangle Below Has Been Extended To Form An Exterior Angle Of 148 Find The Value Of X class=

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Answer:

x = 58°

Find the missing top angle:

180° - 148°

32°

Then find x:

x + 32° + 90° = 180°

x + 122° = 180°

x = 180° - 122°

x = 58°

  • note 1: total interior angle of a triangle sum up to 180°
  • note 2: a straight line has 180°

Solution:

Note that:

  • x + 90 + (180 - 148) = 180

Solve the equation to find x (Bottom left angle).

  • x + 90 + (180 - 148) = 180
  • => x + 90 + (32) = 180
  • => x + 122 = 180
  • => x = 180 - 122
  • => x = 58°

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