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?

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?

anonymous · Answer

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 exterior angle plus two times the interior angle of a square is 360. x =360° – 180°.

 The sum of the measures of the angles at the vertex is 2x plus the interior angle of the square. x = 360° – 90°.

anonymous · Answer

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dumbcow · Answer

its an octagon with 8 equal sides
x is interior angle

there is formula to determine sum of interior angles of polygon
--> S = 180(n-2)
n=8
--> S = 1080
divide by 8
--> x = 135

dumbcow · Answer

haha or you can do it like part A ...different method same answer

dumbcow · Answer

i hate multiple choice

anonymous · Answer

wait so the answer is A? cuz ive been trying to figure it out based on your answer

dumbcow · Answer

yeah its A
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