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Answer:
114 degrees
Step-by-step explanation:
The formula to find the measure of all angles in a regular polygon is , where n = total number of sides.
Thus, we substitute n for 10, and you get:
If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.
A central angle in a regular ten-sided polygon would be 144 degrees.
You can answer this problem using the midpoint formula, but we can work out the 4th vertex by just logically thinking it through by first drawing out the rhombus on an x-y coordinate plane. I wrote the answer out on paper since it is easier than typing. Let me know if you have any questions.
