# A walkway forms one diagonal of a square playground. The walkway is 32m long. How long is a side of the playground?Hint:

###### Question:

## Answers

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq and the angle ∠orq are opposite, therefore:

[tex]m\angle opq+m\angle orq=180\°\\\\m\angle opq+ (2x + 16)\°=180\°[/tex]

then, [tex]m\angle opq+ (2x + 16)\°=180\°[/tex] can be used to d to calculate the measure of ∠opq

[tex]Quadrilateral opqr is inscribed in circle n, as shown below. which of the following could be used to[/tex]

step-by-step explanation:

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two

the answer is b.6

step-by-step explanation: