Answered

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Sagot :

Answer:

X=11

Step-by-step explanation:

Assuming the quadrilateral shown is a parallelogram, opposite angles are congruent and the four angles add up to 360°.

First, we write the equation out by adding the given sides multiplied by 2 to account for the opposite angles and set this sum equal to 360°.

2*(8x+30)+2*(4x+18)=360°

Next, simplify by distribution:

16x+60+8x+36=360

Next, simplify by combining like terms:

24x+96=360

Next, subtract 96 from both sides:

24x=264

Finally, solve for x by dividing both sides by 24:

x=11°

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