Determine the unknown angle measures in a hexagon whose six angles measure 69°, 108°, 135°, 204°, b°, and 2b°.
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<h3>Answer: 7.1</h3>
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Explanation:
The two points are (x1,y1) = (1,3) and (x2,y2) = (8,4)
Use the distance formula to get,
Alternatively, you can plot the two points A(1,3) and B(8,4) on the same xy grid. Then plot point C(8,3). Note that C has the same x coordinate as B, and the same y coordinate as A. Triangle ABC is a right triangle, where the 90 degree angle is at point C. The distance from A to B is the same as finding the length of AB, which is the hypotenuse.
This means we can apply the pythagorean theorem to find the hypotenuse AB. The distance formula is a modified version of the pythagorean theorem. Refer to the diagram below.