Question

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Answer 1

x=56 degrees interior angle of regular hexagon is 60 degrees

Explanation:

The sum of the angles in a hexagon is 720. So the size of an angle in a regular hexagon is 120 degrees.

angle BCA + angle x + angle DCE are equal to 180 degrees when added together.

We can use base angles theorem to find angle DCE : 180-32 = 148 148/2 = 74

Now we know that angle BCA + angle x = 180-74= 106 degrees. Since ABC is equilateral we alread know angle BCA is 60 degrees. Now we can find x from doing 106-60 which equals 56 degrees.

x=56