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°.