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Can somebody please tell me the answer to this

Can somebody please tell me the answer to this-example-1

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Answer:

x= 60°.

Explanation:

To solve this problem, we must figure out the measure of the angles inside a hexagon. We can do this using the Interior Angle formula S = (n - 2)·180.

When we plug the number of sides a hexagon has into this equation, we get a total sum of 720.

To get the measure of each angle, we simply divide 720 by 6, giving us a measure of 120 per angle. Since we know the measure of the interior angles, we can solve for angles of the triangle using Supplementary angles.

180-120= 60°.

We know that the two angles of the triangle against the hexagon are 60°, but what about the other angle?

All you need to do is subtract the two angles from 180 to get you the angle of 'x'.

180-2(60°)= 60°.

User Tonylo
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