Question

The figure shows a pattern of a regular octagon and squares.



Which of the following describes a method to find the measure of angle x?

Answer 1

The interior angle of the octagon is 360° minus the interior angle of the square. x = 360° – 90°.
The exterior angle of the octagon is the same as the interior angle of the square. x = 180°- 90°.
The side of the octagon extends to form the diagonal of the square. The sum of x and 45° is 360°. x = 360°- 45°.
Extend the side of the octagon to get the diagonal of the square. The exterior angle of the octagon is 90° ÷ 2 = 45°. x = 180°- 45°.