ortegday23
ortegday23 ortegday23
  • 18-01-2021
  • Mathematics
contestada

Find the value of x ​

Find the value of x class=

Respuesta :

charlottekumpinsh charlottekumpinsh
  • 18-01-2021
X is 38
hope it helped
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clarch19
clarch19 clarch19
  • 18-01-2021

Answer:

x = 38°

Step-by-step explanation:

this is a four-sided polygon, so the sum of the interior angles measures 360 degrees; formula is (n - 2) · 180 where 'n' is the number of sides

add all four expressions and set equal to 360

5x - 33 + 5x + 13 = 360

10x - 20 = 360

10x = 380

x = 38

check by plugging 38 into each expression to make sure the total is 360

starting in upper left and moving clockwise, the angles are: 75°, 82°, 114°, 89°

Answer Link

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