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Please hurry Interior and Exterior Triangle Angles
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42 votes
42 votes
Please hurry Interior and Exterior Triangle Angles

Please hurry Interior and Exterior Triangle Angles-example-1
User Ianmcook
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2 Answers

17 votes
17 votes

Sum of angles=180


\\ \rm\bull\rightarrowtail 5x+7+4x+16+5x+17=180


\\ \rm\bull\rightarrowtail 14x+40=180


\\ \rm\bull\rightarrowtail 14x=140


\\ \rm\bull\rightarrowtail x=10

User Sandeep Thar
by
2.6k points
21 votes
21 votes

Solution:

Note that:

  • Sum of interior angles = 180°
  • (5x + 7) + (4x + 16) + (5x + 17) = 180

Simplify the equation to find x.

  • (5x + 7) + (4x + 16) + (5x + 17) = 180
  • => (14x + 40) = 180
  • => 14x = 140
  • => x = 10
User Gymshoe
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3.5k points
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