Question

In an equilateral hexagon, four of the exterior angles each have a measure of x°. the other two exterior angles each have a measure of twice the sum of x and 48. give the measures of the exterior angles in order from least to greatest.

Answer 1

A hexagon has 6 sides. Four of the exterior angle have an angle x. The other
two angles have angle 2(x + 48). Since rhe sum of the exterior angles of a
regular polygon equal 360 degrees.
We have x + x + x + x + 2(x +48) + 2(x + 48) = 360
4x + 2x + 2x + 96 + 96 = 360
8x + 192 = 360
8x = 360 - 192
8x = 168
x = 21
For the other two sides the angles are 2(21 + 48) = 138
So we have 21, 21, 21, 21, 138, 138