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  • 21-07-2022
  • Mathematics
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find each lettered angel measure

find each lettered angel measure class=

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Hope008
Hope008 Hope008
  • 21-07-2022

Answer:

a = 64°

b = 138.7°

Step-by-step explanation:

First, Let's find the measure a,

  • 180° = 116° + a
  • 180 - 116 = a
  • a = 64°

______

Now,

  • 90° + a + 82° + x + x + x = 360°
  • 90+ 64 + 82 + 3x = 360°
  • 236 + 3x = 360
  • 3x = 124/ 3
  • x = 41.3°

______

Now that we found out what x equals, let's find 'b'-

  • b + x = 180°
  • b + 41.3 = 180
  • b = 180 - 41.3
  • b = 138.7°
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