The diagram shows a regular pentagon with centre O.

Work out the size of angle x.

The angle between diagonal of a pentagon is 72°.

The size of angle x is 54°.

Let 'O' is a complete angle

∴ ∠O = 360°

Angle between diagonals = = 72°

All the diagonals of a pentagon are equal so, their opposite angles of equal diagonals are also equal.

The sum of all interior angles of triangle is 180°

x + x + 72° = 180°

2x = 180°  - 72°

2x = 108°

x = 54°

Therefore, the size of angle x is 54°.

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54

Step-by-step explanation:

Each vertex of the pentagon has an angle of 108 degrees. So, x = 108/2 = 54

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.