Find the value of x

Mathematics

2 answers:

ser-zykov [4K]3 years ago

6 0

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°

Elodia [21]3 years ago

3 0

X is 38
hope it helped

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