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?
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 square. The

Answer 1

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

Answer 2

Would you use the interior angle formula?

Answer 3

so than divide 360/8 =45 than sign that the central angle willhave 45 degree
- if you divide the circle in 8 part than will get 8 congruent triangles with central angle of the circle equal 45 degree what sign that the sum of second and 3rd angle =135 hence you can getting the value of x=135 degree

Answer 4

ok ?

Answer 5

So, which of the choices would that be? These are practice problems I found to help me with an exam, so I'm comparing answers.

Answer 6

so for a different example if you have one pentagon so this sign that the circle will part in 5 congruent triangles and the angle in center of the circle will be 360/5 =72 degree
than you know that this 5 triangles will have the central angle with 72 degree so second and 3rd angles of one triangle will be 180-72=108 degree
- so in this case the angle corespondent to x from your example will be with 108 degree