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? (4 points)
The sum of the measures of the angles at the vertex is 2x plus the interior angle of the square. x = 360° – 90°.
Two times the measure of the interior angle of the octagon plus the interior angle of a square is 360. x = (360° – 90°) ÷ 2.
The side of the octagon extends to form the diagonal of the square. The exterior angle of the octagon is 90° ÷ 2 = 45°. x = 360° – 45°.
Extend the side of the octagon to get the diagonal of the

Answer 1

The exterior angle plus two times the interior angle of a square is 360. x =360° – 180°.

Answer 2

The wording for the answer choices are confusing me.

Answer 3

So, I was having a hard time understanding these answer choices. They seemed to require some 'inside knowledge' on the answer, at least to me. So, I extended the pattern here, in the attachment, to help see that there's another regular octagon adjacent to the original one that completes the angle.

Answer 4

So, with two angles from the same regular octagon and one interior angle from a square, we can just see that the sum of these angles is a full 360.

Answer 5

Do you think I would have to use the exterior angle formula?

Answer 6

Or the interior?

Answer 7

2x+90 = 360

Answer 8

can't read your options ... put it in your own words