What’s the value of z?
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Answer:
Step-by-step explanation:
This is a non-regular pentagon. By the definition of the polygon angle-sum theorem, the angles inside the polygon equal 540 degrees. To find this, take the number of sides of the polygon (5), subtract 2 from it (3), and multiply that number by 180 to get 540. That means that all the angles added up together equal 540:
119 + z + 2z + 70 + 2z + 1q = 540 and
5z + 200 = 540 and
5z = 340 so
z = 68