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Sagot :

Answer:

x = 80, y = 100

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7 , then

sum = 180° × 5 = 900°

Sum the interior angles and equate to 900

y + 135 + 140 + 150 + 120 + 135 + 120 = 900, that is

y + 800 = 900 ( subtract 800 from both sides )

y = 100

x and y are adjacent angles and are supplementary, that is sum to 180°

x + y = 180

x + 100 = 180 ( subtract 100 from both sides )

x = 80

Thus x = 80 and y = 100

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