Question

The measures of each exterior angle in a regular hexagon is (4x + 15)°. Find the value of x.

Answer 1

You know, given a polygon of n sides, the total interior angle measure in degrees sums up to
180 ( n - 2 )
Since this is a hexagon, n=6, so the total angle measure is
180 ( 6 - 2 )
= 180 ( 4 )
= 720

Since this is a regular hexagon, each interior angle has the same measure, and so, each angle should measure 720 / 6 = 120
Then
4x + 15 = 120

Now solve for x :)

Answer 2

thanx peter pna

Answer 3

No problem :)