Explanation

In a regular hexagon, all interior angles are equal. The sum of the interior angles of a hexagon is:

(6 - 2) × 180° = 720°

Since there are 6 equal angles:

Each angle = 720° / 6

Each angle = 120°

Explanation

The formula for the interior angle of a regular polygon is (180° × (n - 2)) / n, where n = 5 for a pentagon.

Substituting n = 5, we get (180 × 3) / 5 = 108° per angle.

Explanation

The formula for the perimeter of an equilateral triangle is P = 3 × side.

Given P = 15 cm, solving 15 ÷ 3 = 5 cm.

Explanation

Supplementary angles add up to 180°, so set up an equation:

(3x + 5) + (9x - 5) = 180°

Combine like terms:

12x = 180°

Divide both sides by 12:

x = 15°

Explanation

Since it's a square garden, all sides are equal. To find the length of one side, take the square root of the area:

√2704 m² = 52 m