Question

The diagram shows a rhombus inside a regular hexagon.
Work out the size of angle x.
X

Answer 1

Answer: 60 degrees

Explanation:

Make the hexagon into a bunch of equilateral triangles, and split the rhombus into two equilateral triangles.

Answer 2

• 60°

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Sides of the given rhombus are parallel to sides of the hexagon.

If you extend sides of the rhombus they will make diagonals connecting opposite vertices..

These diagonals are angle bisectors and hence the angle x if half the interior angle of the hexagon:

• x = 120°/2 = 60°