Question

A regular hexagon ABCDEF is shown……work out the size of angle x

Answer 1

Answer:

x=30

Step-by-step explanation:

Since this a regular hexagon, each angle measure is congruent.

A hexagon interior angles add to be

(${6 - 2}) \times 180 = 720$

However, in the triangle, only part of angle b and angle f is in the triangle. However angle a is fully in the triangle so

Angle A=120.

So using the triangle interior theorem, angle b and f must add up to 180.

$120 + x + y = 180$

However, since this is a regular hexagon, the sides are equal so this is a isoceles triangle.

Using the base isoceles triangle theorem, angle b and angle f of the triangle must be equal so

$x = y$

$120 + 2x = 180$

$2x = 60$

$x = 30$

Answer 2

The correct answer should be x=30